564567536000 has 256 divisors, whose sum is σ = 1560409643520. Its totient is φ = 201729024000.

The previous prime is 564567535993. The next prime is 564567536063. The reversal of 564567536000 is 635765465.

It is a super-2 number, since 2×564567536000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 6404222 + ... + 6491778.

It is an arithmetic number, because the mean of its divisors is an integer number (6095350170).

Almost surely, 2^564567536000 is an apocalyptic number.

564567536000 is a gapful number since it is divisible by the number (50) 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 564567536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780204821760).

564567536000 is an abundant number, since it is smaller than the sum of its proper divisors (995842107520).

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

564567536000 is a wasteful number, since it uses less digits than its factorization.

564567536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87630 (or 87608 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 47.

The spelling of 564567536000 in words is "five hundred sixty-four billion, five hundred sixty-seven million, five hundred thirty-six thousand".