564675844320 has 480 divisors, whose sum is σ = 2397403008000. Its totient is φ = 122275298304.

The previous prime is 564675844307. The next prime is 564675844333. The reversal of 564675844320 is 23448576465.

564675844320 is a `hidden beast` number, since 5 + 64 + 6 + 75 + 84 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (564675844307) and next prime (564675844333).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1559881 + ... + 1887479.

It is an arithmetic number, because the mean of its divisors is an integer number (4994589600).

Almost surely, 2^564675844320 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 564675844320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198701504000).

564675844320 is an abundant number, since it is smaller than the sum of its proper divisors (1832727163680).

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

564675844320 is a wasteful number, since it uses less digits than its factorization.

564675844320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327652 (or 327635 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 564675844320 in words is "five hundred sixty-four billion, six hundred seventy-five million, eight hundred forty-four thousand, three hundred twenty".