56464539264 has 1024 divisors, whose sum is σ = 215424000000. Its totient is φ = 14485008384.

The previous prime is 56464539259. The next prime is 56464539289. The reversal of 56464539264 is 46293546465.

56464539264 is a `hidden beast` number, since 5 + 6 + 46 + 4 + 539 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 56464539264.

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, 518023242 + ... + 518023350.

It is an arithmetic number, because the mean of its divisors is an integer number (210375000).

Almost surely, 2^56464539264 is an apocalyptic number.

56464539264 is a gapful number since it is divisible by the number (54) 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 56464539264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712000000).

56464539264 is an abundant number, since it is smaller than the sum of its proper divisors (158959460736).

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

56464539264 is a wasteful number, since it uses less digits than its factorization.

56464539264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 56464539264 in words is "fifty-six billion, four hundred sixty-four million, five hundred thirty-nine thousand, two hundred sixty-four".