564564888576 has 880 divisors, whose sum is σ = 2024811502560. Its totient is φ = 154793410560.

The previous prime is 564564888553. The next prime is 564564888703. The reversal of 564564888576 is 675888465465.

564564888576 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 6 + 48 + 8 + 8 + 576 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 348281046 + ... + 348282666.

It is an arithmetic number, because the mean of its divisors is an integer number (2300922162).

Almost surely, 2^564564888576 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 564564888576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012405751280).

564564888576 is an abundant number, since it is smaller than the sum of its proper divisors (1460246613984).

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

564564888576 is a wasteful number, since it uses less digits than its factorization.

564564888576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1675 counting only the distinct ones).

The product of its digits is 1548288000, while the sum is 72.

The spelling of 564564888576 in words is "five hundred sixty-four billion, five hundred sixty-four million, eight hundred eighty-eight thousand, five hundred seventy-six".