564750788725728 has 288 divisors, whose sum is σ = 1786666464771552. Its totient is φ = 167757234278400.

The previous prime is 564750788725699. The next prime is 564750788725751. The reversal of 564750788725728 is 827527887057465.

564750788725728 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 507 + 8 + 87 + 2 + 5 + 7 + 28 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186043158 + ... + 189054378.

It is an arithmetic number, because the mean of its divisors is an integer number (6203703002679).

Almost surely, 2^{564750788725728} 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 564750788725728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893333232385776).

564750788725728 is an abundant number, since it is smaller than the sum of its proper divisors (1221915676045824).

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

564750788725728 is a wasteful number, since it uses less digits than its factorization.

564750788725728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012418 (or 3012407 counting only the distinct ones).

The product of its (nonzero) digits is 14751744000, while the sum is 81.

The spelling of 564750788725728 in words is "five hundred sixty-four trillion, seven hundred fifty billion, seven hundred eighty-eight million, seven hundred twenty-five thousand, seven hundred twenty-eight".