56747768400 has 480 divisors, whose sum is σ = 209928528000. Its totient is φ = 14542295040.

The previous prime is 56747768387. The next prime is 56747768401. The reversal of 56747768400 is 486774765.

56747768400 is a `hidden beast` number, since 567 + 4 + 7 + 76 + 8 + 4 + 0 + 0 = 666.

56747768400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (56747768401) 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, 128098579 + ... + 128099021.

It is an arithmetic number, because the mean of its divisors is an integer number (437351100).

Almost surely, 2^56747768400 is an apocalyptic number.

56747768400 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 56747768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104964264000).

56747768400 is an abundant number, since it is smaller than the sum of its proper divisors (153180759600).

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

56747768400 is a wasteful number, since it uses less digits than its factorization.

56747768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 56747768400 in words is "fifty-six billion, seven hundred forty-seven million, seven hundred sixty-eight thousand, four hundred".