668325600 has 144 divisors (see below), whose sum is σ = 2417189040. Its totient is φ = 178214400.

The previous prime is 668325583. The next prime is 668325649. The reversal of 668325600 is 6523866.

668325600 is a `hidden beast` number, since 6 + 68 + 32 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6130 + ... + 37070.

It is an arithmetic number, because the mean of its divisors is an integer number (16786035).

Almost surely, 2^668325600 is an apocalyptic number.

668325600 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 668325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208594520).

668325600 is an abundant number, since it is smaller than the sum of its proper divisors (1748863440).

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

668325600 is a wasteful number, since it uses less digits than its factorization.

668325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30970 (or 30951 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 668325600 is about 25851.9941203769. The cubic root of 668325600 is about 874.3044704056.

The spelling of 668325600 in words is "six hundred sixty-eight million, three hundred twenty-five thousand, six hundred".