564903062599680 has 384 divisors, whose sum is σ = 2294918699673600. Its totient is φ = 129120699580416.

The previous prime is 564903062599663. The next prime is 564903062599717. The reversal of 564903062599680 is 86995260309465.

564903062599680 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 0 + 306 + 259 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×564903062599680² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 564903062599599 and 564903062599608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144007272 + ... + 147877991.

It is an arithmetic number, because the mean of its divisors is an integer number (5976350780400).

Almost surely, 2^{564903062599680} is an apocalyptic number.

It is an amenable number.

564903062599680 is an abundant number, since it is smaller than the sum of its proper divisors (1730015637073920).

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

564903062599680 is a wasteful number, since it uses less digits than its factorization.

564903062599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291885306 (or 291885280 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 564903062599680 in words is "five hundred sixty-four trillion, nine hundred three billion, sixty-two million, five hundred ninety-nine thousand, six hundred eighty".