56634404736 has 512 divisors, whose sum is σ = 196337433600. Its totient is φ = 14046068736.

The previous prime is 56634404731. The next prime is 56634404737. The reversal of 56634404736 is 63740443665.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56634404731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130795176 + ... + 130795608.

It is an arithmetic number, because the mean of its divisors is an integer number (383471550).

Almost surely, 2^56634404736 is an apocalyptic number.

56634404736 is a gapful number since it is divisible by the number (56) 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 56634404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98168716800).

56634404736 is an abundant number, since it is smaller than the sum of its proper divisors (139703028864).

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

56634404736 is a wasteful number, since it uses less digits than its factorization.

56634404736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 56634404736 in words is "fifty-six billion, six hundred thirty-four million, four hundred four thousand, seven hundred thirty-six".