564157500674544 has 240 divisors, whose sum is σ = 1809789296500224. Its totient is φ = 160707811622400.

The previous prime is 564157500674533. The next prime is 564157500674567. The reversal of 564157500674544 is 445476005751465.

564157500674544 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 5 + 7 + 500 + 6 + 74 + 54 + 4 = 666.

It is a super-2 number, since 2×564157500674544² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524581437 + ... + 525655779.

Almost surely, 2^{564157500674544} 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 564157500674544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904894648250112).

564157500674544 is an abundant number, since it is smaller than the sum of its proper divisors (1245631795825680).

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

564157500674544 is a wasteful number, since it uses less digits than its factorization.

564157500674544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075916 (or 1075907 counting only the distinct ones).

The product of its (nonzero) digits is 282240000, while the sum is 63.

The spelling of 564157500674544 in words is "five hundred sixty-four trillion, one hundred fifty-seven billion, five hundred million, six hundred seventy-four thousand, five hundred forty-four".