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How heavy is 636 long tons?

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It's about one-and-one-tenth times as heavy as Christ the Redeemer (statue)
In other words, 636 long tons is 1.02 times the weight of Christ the Redeemer (statue), and the weight of Christ the Redeemer (statue) is 0.980 times that amount.
(a.k.a. O Cristo Redentor, a.k.a. Christo redemptor) (Rio de Janeiro, Brazil)
Christ the Redeemer weighs 625 long tons. The statue overlooks the city of Rio de Janeiro from atop the 709.9-meter (2,329 ft) granite peak in the Tijuca Forest National Park.
It's about half as heavy as a Tree (Sierra Redwood)
In other words, the weight of a Tree (Sierra Redwood) is 2 times 636 long tons.
(a.k.a. Giant Sequoia, a.k.a. Sierran redwood, a.k.a. Wellingtonia, a.k.a. "Big Tree", Sequoiadendron giganteum)
The weight of wood in a Giant Sequoia is 1,300 long tons. General Sherman, a specimen in Sequoia National Park in Visalia, California, is the largest tree in the world by volume, with an estimated weight of about 1,900 long tons.
It's about four times as heavy as a House
In other words, 636 long tons is 4.140 times the weight of a House, and the weight of a House is 0.2420 times that amount.
(149 sq. m, single-level, unfurnished)
A 149 sq. m (1,600 sq. ft), single-story, unfurnished house (without extensive masonry) of the type commonly found in America would weigh approximately 154 long tons, based on the weight of the included materials. In contrast, a yurt — a type of dwelling structure popular among nomadic peoples of East Asia — typically weighs less than 0.4530 long tons.
It's about six times as heavy as a Blue Whale
In other words, 636 long tons is 6.180 times the weight of a Blue Whale, and the weight of a Blue Whale is 0.1620 times that amount.
(Balaenoptera musculus)
Blue whales weigh between 103 long tons. The largest mammal to have ever lived, blue whales feed almost exclusively on krill — tiny invertebrates weighing about 0.0000009840 long tons each.
It's about nine times as heavy as The Space Shuttle
In other words, 636 long tons is 9.10 times the weight of The Space Shuttle, and the weight of The Space Shuttle is 0.110 times that amount.
(for Endeavour, a.k.a. OV-105, a.k.a. Orbiter Vehicle-105) (empty weight, excluding main engines)
When empty, the space shuttle Endeavour weighs 70 long tons. The shuttle's spacious cargo bay carried the Chandra X-ray Observatory into orbit in 1999 — a payload that weighed 19 long tons.
It's about one-fifteenth as heavy as The Eiffel Tower
In other words, the weight of The Eiffel Tower is 15.60 times 636 long tons.
(a.k.a. La Tour Eiffel) (Paris, France) (total weight)
The Eiffel Tower weighs approximately 9,940 long tons. Architected to be quickly assembled, the Tower contains only 930 cu. meters of solid material.
It's about one-twentieth as heavy as The Brooklyn Bridge
In other words, 636 long tons is 0.04851 times the weight of The Brooklyn Bridge, and the weight of The Brooklyn Bridge is 20.610 times that amount.
(a.k.a. New York and Brooklyn Bridge) (Manhattan and Brooklyn, New York City, New York) (total weight)
The total weight of the Brooklyn Bridge is approximately 13,110 long tons. In a promotional event to prove the bridge's stability shortly after it opened, entertainer P. T. Barnum led a parade of 21 elephants across it in May of 1884.