564612465136440 has 256 divisors, whose sum is σ = 1948676320926720. Its totient is φ = 128198845071360.

The previous prime is 564612465136409. The next prime is 564612465136441. The reversal of 564612465136440 is 44631564216465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564612465136441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103411239 + ... + 108734121.

It is an arithmetic number, because the mean of its divisors is an integer number (7612016878620).

Almost surely, 2^{564612465136440} 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 564612465136440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974338160463360).

564612465136440 is an abundant number, since it is smaller than the sum of its proper divisors (1384063855790280).

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

564612465136440 is a wasteful number, since it uses less digits than its factorization.

564612465136440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323742 (or 5323738 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 57.

The spelling of 564612465136440 in words is "five hundred sixty-four trillion, six hundred twelve billion, four hundred sixty-five million, one hundred thirty-six thousand, four hundred forty".