564569948160 has 720 divisors, whose sum is σ = 2061018086400. Its totient is φ = 148232208384.

The previous prime is 564569948153. The next prime is 564569948171. The reversal of 564569948160 is 61849965465.

564569948160 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 6 + 99 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 1572618061 + ... + 1572618419.

It is an arithmetic number, because the mean of its divisors is an integer number (2862525120).

Almost surely, 2^564569948160 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 564569948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030509043200).

564569948160 is an abundant number, since it is smaller than the sum of its proper divisors (1496448138240).

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

564569948160 is an frugal number, since it uses more digits than its factorization.

564569948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 564569948160 in words is "five hundred sixty-four billion, five hundred sixty-nine million, nine hundred forty-eight thousand, one hundred sixty".