8473357900800 has 1584 divisors, whose sum is σ = 35060520462240. Its totient is φ = 2013269852160.

The previous prime is 8473357900783. The next prime is 8473357900807. The reversal of 8473357900800 is 80097533748.

8473357900800 is a `hidden beast` number, since 8 + 473 + 3 + 5 + 7 + 90 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8473357900807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2345239794 + ... + 2345243406.

Almost surely, 2^{8473357900800} is an apocalyptic number.

8473357900800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8473357900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530260231120).

8473357900800 is an abundant number, since it is smaller than the sum of its proper divisors (26587162561440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8473357900800 is a wasteful number, since it uses less digits than its factorization.

8473357900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 8473357900800 in words is "eight trillion, four hundred seventy-three billion, three hundred fifty-seven million, nine hundred thousand, eight hundred".