564796415377816 has 256 divisors, whose sum is σ = 1200418652160000. Its totient is φ = 248031578995200.

The previous prime is 564796415377807. The next prime is 564796415377819. The reversal of 564796415377816 is 618773514697465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564796415377819) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36022469065 + ... + 36022484743.

It is an arithmetic number, because the mean of its divisors is an integer number (4689135360000).

Almost surely, 2^{564796415377816} is an apocalyptic number.

It is an amenable number.

564796415377816 is an abundant number, since it is smaller than the sum of its proper divisors (635622236782184).

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

564796415377816 is a wasteful number, since it uses less digits than its factorization.

564796415377816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19518 (or 19514 counting only the distinct ones).

The product of its digits is 6401203200, while the sum is 79.

The spelling of 564796415377816 in words is "five hundred sixty-four trillion, seven hundred ninety-six billion, four hundred fifteen million, three hundred seventy-seven thousand, eight hundred sixteen".