664339200 has 216 divisors, whose sum is σ = 2506172928. Its totient is φ = 151818240.

The previous prime is 664339187. The next prime is 664339211. The reversal of 664339200 is 2933466.

664339200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131929 + ... + 136871.

Almost surely, 2^664339200 is an apocalyptic number.

664339200 is a gapful number since it is divisible by the number (60) 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 664339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253086464).

664339200 is an abundant number, since it is smaller than the sum of its proper divisors (1841833728).

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

664339200 is a wasteful number, since it uses less digits than its factorization.

664339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 664339200 is about 25774.7783695612. The cubic root of 664339200 is about 872.5626646617.

The spelling of 664339200 in words is "six hundred sixty-four million, three hundred thirty-nine thousand, two hundred".