66564100 has 36 divisors (see below), whose sum is σ = 144952528. Its totient is φ = 26532000.

The previous prime is 66564067. The next prime is 66564103. The reversal of 66564100 is 146566.

66564100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66564103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32095 + ... + 34105.

Almost surely, 2^66564100 is an apocalyptic number.

It is an amenable number.

66564100 is an abundant number, since it is smaller than the sum of its proper divisors (78388428).

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

66564100 is a wasteful number, since it uses less digits than its factorization.

66564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 66564100 is about 8158.6824916772. The cubic root of 66564100 is about 405.2720825783.

The spelling of 66564100 in words is "sixty-six million, five hundred sixty-four thousand, one hundred".