56967984944640 has 2560 divisors, whose sum is σ = 267868369612800. Its totient is φ = 11110302351360.

The previous prime is 56967984944587. The next prime is 56967984944723. The reversal of 56967984944640 is 4644948976965.

56967984944640 is a `hidden beast` number, since 5 + 6 + 9 + 6 + 7 + 98 + 49 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a self number, because there is not a number n which added to its sum of digits gives 56967984944640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46053342102 + ... + 46053343338.

It is an arithmetic number, because the mean of its divisors is an integer number (104636081880).

Almost surely, 2^{56967984944640} 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 56967984944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133934184806400).

56967984944640 is an abundant number, since it is smaller than the sum of its proper divisors (210900384668160).

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

56967984944640 is a wasteful number, since it uses less digits than its factorization.

56967984944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 11287019520, while the sum is 81.

The spelling of 56967984944640 in words is "fifty-six trillion, nine hundred sixty-seven billion, nine hundred eighty-four million, nine hundred forty-four thousand, six hundred forty".