564104664 has 144 divisors (see below), whose sum is σ = 1613266200. Its totient is φ = 177997824.

The previous prime is 564104621. The next prime is 564104687. The reversal of 564104664 is 466401465.

564104664 is a `hidden beast` number, since 5 + 641 + 0 + 4 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5815464 + ... + 5815560.

Almost surely, 2^564104664 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 564104664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806633100).

564104664 is an abundant number, since it is smaller than the sum of its proper divisors (1049161536).

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

564104664 is a wasteful number, since it uses less digits than its factorization.

564104664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 564104664 is about 23750.8876465702. The cubic root of 564104664 is about 826.2660275370.

The spelling of 564104664 in words is "five hundred sixty-four million, one hundred four thousand, six hundred sixty-four".