564338105575776 has 216 divisors, whose sum is σ = 1890481632268320. Its totient is φ = 159198452614656.

The previous prime is 564338105575709. The next prime is 564338105575787. The reversal of 564338105575776 is 677575501833465.

564338105575776 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 3 + 8 + 10 + 557 + 57 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 251986071 + ... + 254215766.

It is an arithmetic number, because the mean of its divisors is an integer number (8752229779020).

Almost surely, 2^{564338105575776} is an apocalyptic number.

564338105575776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

564338105575776 is an abundant number, since it is smaller than the sum of its proper divisors (1326143526692544).

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

564338105575776 is a wasteful number, since it uses less digits than its factorization.

564338105575776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506201946 (or 506201928 counting only the distinct ones).

The product of its (nonzero) digits is 2222640000, while the sum is 72.

The spelling of 564338105575776 in words is "five hundred sixty-four trillion, three hundred thirty-eight billion, one hundred five million, five hundred seventy-five thousand, seven hundred seventy-six".