564624426465 has 64 divisors (see below), whose sum is σ = 1096039710720. Its totient is φ = 273504669120.

The previous prime is 564624426451. The next prime is 564624426497.

564624426465 is a `hidden beast` number, since 5 + 6 + 4 + 624 + 4 + 2 + 6 + 4 + 6 + 5 = 666.

564624426465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564624426465 - 2⁵ = 564624426433 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1439302 + ... + 1789088.

It is an arithmetic number, because the mean of its divisors is an integer number (17125620480).

Almost surely, 2^564624426465 is an apocalyptic number.

564624426465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564624426465 is a deficient number, since it is larger than the sum of its proper divisors (531415284255).

564624426465 is a wasteful number, since it uses less digits than its factorization.

564624426465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350899 (or 350893 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 564624426465 in words is "five hundred sixty-four billion, six hundred twenty-four million, four hundred twenty-six thousand, four hundred sixty-five".