564474874176 has 168 divisors, whose sum is σ = 1706407560000. Its totient is φ = 177911285760.

The previous prime is 564474874141. The next prime is 564474874177. The reversal of 564474874176 is 671478474465.

564474874176 is a `hidden beast` number, since 5 + 6 + 4 + 47 + 487 + 41 + 76 = 666.

It is a super-2 number, since 2×564474874176² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564474874177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5652325 + ... + 5751323.

Almost surely, 2^564474874176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564474874176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853203780000).

564474874176 is an abundant number, since it is smaller than the sum of its proper divisors (1141932685824).

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

564474874176 is a wasteful number, since it uses less digits than its factorization.

564474874176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99557 (or 99544 counting only the distinct ones).

The product of its digits is 126443520, while the sum is 63.

The spelling of 564474874176 in words is "five hundred sixty-four billion, four hundred seventy-four million, eight hundred seventy-four thousand, one hundred seventy-six".