66000564 has 72 divisors (see below), whose sum is σ = 191854208. Its totient is φ = 18740160.

The previous prime is 66000553. The next prime is 66000569. The reversal of 66000564 is 46500066.

66000564 is a `hidden beast` number, since 6 + 600 + 0 + 56 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66000569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44889 + ... + 46335.

Almost surely, 2^66000564 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 66000564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95927104).

66000564 is an abundant number, since it is smaller than the sum of its proper divisors (125853644).

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

66000564 is a wasteful number, since it uses less digits than its factorization.

66000564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66000564 is about 8124.0731163623. The cubic root of 66000564 is about 404.1251532000.

It can be divided in two parts, 66000 and 564, that added together give a square (66564 = 258²).

The spelling of 66000564 in words is "sixty-six million, five hundred sixty-four", and thus it is an aban number.