668884086259200 has 1440 divisors, whose sum is σ = 2754070376428800. Its totient is φ = 151864014274560.

The previous prime is 668884086259127. The next prime is 668884086259201. The reversal of 668884086259200 is 2952680488866.

668884086259200 is a `hidden beast` number, since 6 + 6 + 8 + 8 + 8 + 408 + 6 + 2 + 5 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668884086259201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166430474791 + ... + 166430478809.

It is an arithmetic number, because the mean of its divisors is an integer number (1912548872520).

Almost surely, 2^{668884086259200} is an apocalyptic number.

668884086259200 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 668884086259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377035188214400).

668884086259200 is an abundant number, since it is smaller than the sum of its proper divisors (2085186290169600).

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

668884086259200 is a wasteful number, since it uses less digits than its factorization.

668884086259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 668884086259200 in words is "six hundred sixty-eight trillion, eight hundred eighty-four billion, eighty-six million, two hundred fifty-nine thousand, two hundred".