56748896064 has 504 divisors, whose sum is σ = 196359901920. Its totient is φ = 15614097408.

The previous prime is 56748896053. The next prime is 56748896077. The reversal of 56748896064 is 46069884765.

56748896064 is a `hidden beast` number, since 5 + 6 + 7 + 488 + 96 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 56748895992 and 56748896010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88256127 + ... + 88256769.

It is an arithmetic number, because the mean of its divisors is an integer number (389602980).

Almost surely, 2^56748896064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56748896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98179950960).

56748896064 is an abundant number, since it is smaller than the sum of its proper divisors (139611005856).

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

56748896064 is a wasteful number, since it uses less digits than its factorization.

56748896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 56748896064 in words is "fifty-six billion, seven hundred forty-eight million, eight hundred ninety-six thousand, sixty-four".