56641332363264 has 720 divisors, whose sum is σ = 189644579220096. Its totient is φ = 16099364044800.

The previous prime is 56641332363241. The next prime is 56641332363277. The reversal of 56641332363264 is 46236323314665.

56641332363264 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 13 + 3 + 2 + 363 + 264 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56641332363264.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8465298159 + ... + 8465304849.

Almost surely, 2^{56641332363264} 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 56641332363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94822289610048).

56641332363264 is an abundant number, since it is smaller than the sum of its proper divisors (133003246856832).

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

56641332363264 is a wasteful number, since it uses less digits than its factorization.

56641332363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7060 (or 7031 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 54.

The spelling of 56641332363264 in words is "fifty-six trillion, six hundred forty-one billion, three hundred thirty-two million, three hundred sixty-three thousand, two hundred sixty-four".