564536839680 has 320 divisors, whose sum is σ = 2187583200000. Its totient is φ = 136857231360.

The previous prime is 564536839661. The next prime is 564536839703. The reversal of 564536839680 is 86938635465.

564536839680 is a `hidden beast` number, since 5 + 6 + 4 + 536 + 8 + 3 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389071 + ... + 1131569.

It is an arithmetic number, because the mean of its divisors is an integer number (6836197500).

Almost surely, 2^564536839680 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 564536839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093791600000).

564536839680 is an abundant number, since it is smaller than the sum of its proper divisors (1623046360320).

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

564536839680 is a wasteful number, since it uses less digits than its factorization.

564536839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742542 (or 742520 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 564536839680 in words is "five hundred sixty-four billion, five hundred thirty-six million, eight hundred thirty-nine thousand, six hundred eighty".