56768632800 has 576 divisors, whose sum is σ = 208359164160. Its totient is φ = 13305856000.

The previous prime is 56768632757. The next prime is 56768632807. The reversal of 56768632800 is 823686765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56768632807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193749454 + ... + 193749746.

It is an arithmetic number, because the mean of its divisors is an integer number (361734660).

Almost surely, 2^56768632800 is an apocalyptic number.

56768632800 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 56768632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104179582080).

56768632800 is an abundant number, since it is smaller than the sum of its proper divisors (151590531360).

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

56768632800 is a wasteful number, since it uses less digits than its factorization.

56768632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 56768632800 in words is "fifty-six billion, seven hundred sixty-eight million, six hundred thirty-two thousand, eight hundred".