56964104820 has 384 divisors, whose sum is σ = 214005657600. Its totient is φ = 12288443904.

The previous prime is 56964104803. The next prime is 56964104831. The reversal of 56964104820 is 2840146965.

56964104820 is a `hidden beast` number, since 569 + 6 + 4 + 1 + 0 + 4 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21041907 + ... + 21044613.

It is an arithmetic number, because the mean of its divisors is an integer number (557306400).

Almost surely, 2^56964104820 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 56964104820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107002828800).

56964104820 is an abundant number, since it is smaller than the sum of its proper divisors (157041552780).

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

56964104820 is a wasteful number, since it uses less digits than its factorization.

56964104820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 56964104820 in words is "fifty-six billion, nine hundred sixty-four million, one hundred four thousand, eight hundred twenty".