56763791884800 has 7680 divisors, whose sum is σ = 296787404390400. Its totient is φ = 10247897088000.

The previous prime is 56763791884697. The next prime is 56763791884823. The reversal of 56763791884800 is 848819736765.

56763791884800 is a `hidden beast` number, since 5 + 6 + 7 + 63 + 7 + 9 + 1 + 88 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 718529011161 + ... + 718529011239.

It is an arithmetic number, because the mean of its divisors is an integer number (38644193280).

Almost surely, 2^{56763791884800} is an apocalyptic number.

56763791884800 is a gapful number since it is divisible by the number (50) 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 56763791884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148393702195200).

56763791884800 is an abundant number, since it is smaller than the sum of its proper divisors (240023612505600).

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

56763791884800 is a wasteful number, since it uses less digits than its factorization.

56763791884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 56763791884800 in words is "fifty-six trillion, seven hundred sixty-three billion, seven hundred ninety-one million, eight hundred eighty-four thousand, eight hundred".