564163966080 has 2304 divisors, whose sum is σ = 2515878144000. Its totient is φ = 115073187840.

The previous prime is 564163966073. The next prime is 564163966097. The reversal of 564163966080 is 80669361465.

564163966080 is a `hidden beast` number, since 5 + 6 + 416 + 3 + 96 + 60 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9562101091 + ... + 9562101149.

It is an arithmetic number, because the mean of its divisors is an integer number (1091961000).

Almost surely, 2^564163966080 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 564163966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257939072000).

564163966080 is an abundant number, since it is smaller than the sum of its proper divisors (1951714177920).

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

564163966080 is a wasteful number, since it uses less digits than its factorization.

564163966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 564163966080 in words is "five hundred sixty-four billion, one hundred sixty-three million, nine hundred sixty-six thousand, eighty".