564872916960 has 288 divisors, whose sum is σ = 2108913861600. Its totient is φ = 136545177600.

The previous prime is 564872916917. The next prime is 564872916973. The reversal of 564872916960 is 69619278465.

564872916960 is a `hidden beast` number, since 5 + 6 + 487 + 2 + 91 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 5477070 + ... + 5579250.

It is an arithmetic number, because the mean of its divisors is an integer number (7322617575).

Almost surely, 2^564872916960 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 564872916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054456930800).

564872916960 is an abundant number, since it is smaller than the sum of its proper divisors (1544040944640).

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

564872916960 is a wasteful number, since it uses less digits than its factorization.

564872916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102562 (or 102551 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 564872916960 in words is "five hundred sixty-four billion, eight hundred seventy-two million, nine hundred sixteen thousand, nine hundred sixty".