564490559388672 has 1760 divisors, whose sum is σ = 2020317469632000. Its totient is φ = 156869616992256.

The previous prime is 564490559388643. The next prime is 564490559388689. The reversal of 564490559388672 is 276883955094465.

564490559388672 is a `hidden beast` number, since 5 + 6 + 4 + 490 + 5 + 59 + 3 + 8 + 8 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 564490559388591 and 564490559388600.

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 159 ways as a sum of consecutive naturals, for example, 162818157883 + ... + 162818161349.

It is an arithmetic number, because the mean of its divisors is an integer number (1147907653200).

Almost surely, 2^{564490559388672} 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 564490559388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010158734816000).

564490559388672 is an abundant number, since it is smaller than the sum of its proper divisors (1455826910243328).

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

564490559388672 is an equidigital number, since it uses as much as digits as its factorization.

564490559388672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 15676416000, while the sum is 81.

The spelling of 564490559388672 in words is "five hundred sixty-four trillion, four hundred ninety billion, five hundred fifty-nine million, three hundred eighty-eight thousand, six hundred seventy-two".