564066504 has 80 divisors (see below), whose sum is σ = 1583297100. Its totient is φ = 187619328.

The previous prime is 564066493. The next prime is 564066521. The reversal of 564066504 is 405660465.

It is a happy number.

564066504 is a `hidden beast` number, since 5 + 640 + 6 + 6 + 5 + 0 + 4 = 666.

564066504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 384238404 + 179828100 = 19602^2 + 13410^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 601524 + ... + 602460.

Almost surely, 2^564066504 is an apocalyptic number.

564066504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564066504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791648550).

564066504 is an abundant number, since it is smaller than the sum of its proper divisors (1019230596).

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

564066504 is a wasteful number, since it uses less digits than its factorization.

564066504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 564066504 is about 23750.0842945873. The cubic root of 564066504 is about 826.2473956384.

The spelling of 564066504 in words is "five hundred sixty-four million, sixty-six thousand, five hundred four".