664675200 has 576 divisors, whose sum is σ = 2847697200. Its totient is φ = 150958080.

The previous prime is 664675199. The next prime is 664675211. The reversal of 664675200 is 2576466.

664675200 is a `hidden beast` number, since 6 + 646 + 7 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4233522 + ... + 4233678.

Almost surely, 2^664675200 is an apocalyptic number.

664675200 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 664675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423848600).

664675200 is an abundant number, since it is smaller than the sum of its proper divisors (2183022000).

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

664675200 is a wasteful number, since it uses less digits than its factorization.

664675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 664675200 is about 25781.2955454143. The cubic root of 664675200 is about 872.7097439661.

The spelling of 664675200 in words is "six hundred sixty-four million, six hundred seventy-five thousand, two hundred".