664929936 has 120 divisors (see below), whose sum is σ = 2038857600. Its totient is φ = 200620800.

The previous prime is 664929907. The next prime is 664929949. The reversal of 664929936 is 639929466.

664929936 is a `hidden beast` number, since 66 + 492 + 9 + 93 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428490 + ... + 430038.

It is an arithmetic number, because the mean of its divisors is an integer number (16990480).

Almost surely, 2^664929936 is an apocalyptic number.

664929936 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664929936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019428800).

664929936 is an abundant number, since it is smaller than the sum of its proper divisors (1373927664).

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

664929936 is a wasteful number, since it uses less digits than its factorization.

664929936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1836 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 664929936 is about 25786.2353979793. The cubic root of 664929936 is about 872.8212180592.

It can be divided in two parts, 6649 and 29936, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 664929936 in words is "six hundred sixty-four million, nine hundred twenty-nine thousand, nine hundred thirty-six".