564945886656 has 392 divisors, whose sum is σ = 1749338420544. Its totient is φ = 180793866240.

The previous prime is 564945886633. The next prime is 564945886669. The reversal of 564945886656 is 656688549465.

564945886656 is a `hidden beast` number, since 5 + 6 + 49 + 458 + 86 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 116217666 + ... + 116222526.

Almost surely, 2^564945886656 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 564945886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874669210272).

564945886656 is an abundant number, since it is smaller than the sum of its proper divisors (1184392533888).

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

564945886656 is an equidigital number, since it uses as much as digits as its factorization.

564945886656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4966 counting only the distinct ones).

The product of its digits is 1492992000, while the sum is 72.

The spelling of 564945886656 in words is "five hundred sixty-four billion, nine hundred forty-five million, eight hundred eighty-six thousand, six hundred fifty-six".