66564504 has 96 divisors (see below), whose sum is σ = 189418320. Its totient is φ = 21897216.

The previous prime is 66564499. The next prime is 66564521. The reversal of 66564504 is 40546566.

It is a happy number.

66564504 is a `hidden beast` number, since 6 + 6 + 5 + 645 + 0 + 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 23 ways as a sum of consecutive naturals, for example, 188392 + ... + 188744.

Almost surely, 2^66564504 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 66564504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94709160).

66564504 is an abundant number, since it is smaller than the sum of its proper divisors (122853816).

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

66564504 is a wasteful number, since it uses less digits than its factorization.

66564504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

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

The square root of 66564504 is about 8158.7072505391. The cubic root of 66564504 is about 405.2729024877.

The spelling of 66564504 in words is "sixty-six million, five hundred sixty-four thousand, five hundred four".