564445345676706 has 96 divisors (see below), whose sum is σ = 1326739360892400. Its totient is φ = 172396506857472.

The previous prime is 564445345676657. The next prime is 564445345676717. The reversal of 564445345676706 is 607676543544465.

564445345676706 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 4 + 53 + 4 + 567 + 6 + 7 + 0 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 121993025625 + 564323352651081 = 349275^2 + 23755491^2 .

It is a super-2 number, since 2×564445345676706² (a number of 30 digits) contains 22 as substring.

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, 496106370 + ... + 497242818.

Almost surely, 2^{564445345676706} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564445345676706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663369680446200).

564445345676706 is an abundant number, since it is smaller than the sum of its proper divisors (762294015215694).

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

564445345676706 is a wasteful number, since it uses less digits than its factorization.

564445345676706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152100 (or 1152097 counting only the distinct ones).

The product of its (nonzero) digits is 6096384000, while the sum is 72.

The spelling of 564445345676706 in words is "five hundred sixty-four trillion, four hundred forty-five billion, three hundred forty-five million, six hundred seventy-six thousand, seven hundred six".