564945648372 has 108 divisors (see below), whose sum is σ = 1662039288000. Its totient is φ = 161332389792.

The previous prime is 564945648361. The next prime is 564945648389. The reversal of 564945648372 is 273846549465.

564945648372 is a `hidden beast` number, since 5 + 6 + 49 + 45 + 6 + 483 + 72 = 666.

It is a super-2 number, since 2×564945648372² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 3496629 + ... + 3654627.

Almost surely, 2^564945648372 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 564945648372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831019644000).

564945648372 is an abundant number, since it is smaller than the sum of its proper divisors (1097093639628).

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

564945648372 is a wasteful number, since it uses less digits than its factorization.

564945648372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160050 (or 160038 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 564945648372 in words is "five hundred sixty-four billion, nine hundred forty-five million, six hundred forty-eight thousand, three hundred seventy-two".