564912638640 has 1440 divisors, whose sum is σ = 2434991025600. Its totient is φ = 119814266880.

The previous prime is 564912638639. The next prime is 564912638687. The reversal of 564912638640 is 46836219465.

564912638640 is a `hidden beast` number, since 56 + 491 + 2 + 63 + 8 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8431531887 + ... + 8431531953.

It is an arithmetic number, because the mean of its divisors is an integer number (1690965990).

Almost surely, 2^564912638640 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 564912638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217495512800).

564912638640 is an abundant number, since it is smaller than the sum of its proper divisors (1870078386960).

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

564912638640 is a wasteful number, since it uses less digits than its factorization.

564912638640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 564912638640 in words is "five hundred sixty-four billion, nine hundred twelve million, six hundred thirty-eight thousand, six hundred forty".