564718373856 has 480 divisors, whose sum is σ = 2048898475008. Its totient is φ = 148586296320.

The previous prime is 564718373797. The next prime is 564718373867. The reversal of 564718373856 is 658373817465.

It is a happy number.

564718373856 is a `hidden beast` number, since 5 + 6 + 471 + 83 + 7 + 3 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 564718373793 and 564718373802.

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, 109206151 + ... + 109211321.

Almost surely, 2^564718373856 is an apocalyptic number.

564718373856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564718373856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024449237504).

564718373856 is an abundant number, since it is smaller than the sum of its proper divisors (1484180101152).

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

564718373856 is a wasteful number, since it uses less digits than its factorization.

564718373856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5659 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 564718373856 in words is "five hundred sixty-four billion, seven hundred eighteen million, three hundred seventy-three thousand, eight hundred fifty-six".