668744359200 has 648 divisors, whose sum is σ = 2506526790768. Its totient is φ = 174125790720.

The previous prime is 668744359163. The next prime is 668744359207. The reversal of 668744359200 is 2953447866.

668744359200 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 4 + 43 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (668744359207) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 225696919 + ... + 225699881.

Almost surely, 2^668744359200 is an apocalyptic number.

668744359200 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 668744359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253263395384).

668744359200 is an abundant number, since it is smaller than the sum of its proper divisors (1837782431568).

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

668744359200 is an equidigital number, since it uses as much as digits as its factorization.

668744359200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 668744359200 in words is "six hundred sixty-eight billion, seven hundred forty-four million, three hundred fifty-nine thousand, two hundred".