66332900 has 36 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 26455200.

The previous prime is 66332821. The next prime is 66332909. The reversal of 66332900 is 923366.

66332900 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 (66332909) 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, 43145 + ... + 44655.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160).

Almost surely, 2^66332900 is an apocalyptic number.

It is an amenable number.

66332900 is an abundant number, since it is smaller than the sum of its proper divisors (78032860).

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

66332900 is a wasteful number, since it uses less digits than its factorization.

66332900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 66332900 is about 8144.5012124746. The cubic root of 66332900 is about 404.8023218607.

The spelling of 66332900 in words is "sixty-six million, three hundred thirty-two thousand, nine hundred".