66242664 has 64 divisors (see below), whose sum is σ = 193704000. Its totient is φ = 20917440.

The previous prime is 66242597. The next prime is 66242669. The reversal of 66242664 is 46624266.

66242664 is a `hidden beast` number, since 6 + 624 + 26 + 6 + 4 = 666.

66242664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66242669) 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 15 ways as a sum of consecutive naturals, for example, 3967 + ... + 12174.

It is an arithmetic number, because the mean of its divisors is an integer number (3026625).

Almost surely, 2^66242664 is an apocalyptic number.

It is an amenable number.

66242664 is an abundant number, since it is smaller than the sum of its proper divisors (127461336).

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

66242664 is a wasteful number, since it uses less digits than its factorization.

66242664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16175 (or 16165 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 66242664 is about 8138.9596386762. The cubic root of 66242664 is about 404.6186808703.

The spelling of 66242664 in words is "sixty-six million, two hundred forty-two thousand, six hundred sixty-four".