564356624656 has 60 divisors (see below), whose sum is σ = 1243325695500. Its totient is φ = 247679998720.

The previous prime is 564356624603. The next prime is 564356624683. The reversal of 564356624656 is 656426653465.

It can be written as a sum of positive squares in 2 ways, for example, as 349446499600 + 214910125056 = 591140^2 + 463584^2 .

It is a super-2 number, since 2×564356624656² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 564356624656.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4969831 + ... + 5082118.

It is an arithmetic number, because the mean of its divisors is an integer number (20722094925).

Almost surely, 2^564356624656 is an apocalyptic number.

It is an amenable number.

564356624656 is an abundant number, since it is smaller than the sum of its proper divisors (678969070844).

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

564356624656 is a wasteful number, since it uses less digits than its factorization.

564356624656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052008 (or 10051991 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 58.

The spelling of 564356624656 in words is "five hundred sixty-four billion, three hundred fifty-six million, six hundred twenty-four thousand, six hundred fifty-six".