564301980864 has 336 divisors, whose sum is σ = 1717360426080. Its totient is φ = 176664084480.

The previous prime is 564301980841. The next prime is 564301980899. The reversal of 564301980864 is 468089103465.

564301980864 is a `hidden beast` number, since 56 + 430 + 1 + 9 + 80 + 86 + 4 = 666.

It is a super-3 number, since 3×564301980864³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 564301980864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880345984 + ... + 880346624.

Almost surely, 2^564301980864 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 564301980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858680213040).

564301980864 is an abundant number, since it is smaller than the sum of its proper divisors (1153058445216).

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

564301980864 is a wasteful number, since it uses less digits than its factorization.

564301980864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 564301980864 in words is "five hundred sixty-four billion, three hundred one million, nine hundred eighty thousand, eight hundred sixty-four".