668892400800 has 1728 divisors, whose sum is σ = 2665910620800. Its totient is φ = 144919756800.

The previous prime is 668892400793. The next prime is 668892400807. The reversal of 668892400800 is 8004298866.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (668892400793) and next prime (668892400807).

It is not an unprimeable number, because it can be changed into a prime (668892400807) 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 287 ways as a sum of consecutive naturals, for example, 9162909564 + ... + 9162909636.

It is an arithmetic number, because the mean of its divisors is an integer number (1542772350).

Almost surely, 2^668892400800 is an apocalyptic number.

668892400800 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 668892400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332955310400).

668892400800 is an abundant number, since it is smaller than the sum of its proper divisors (1997018220000).

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

668892400800 is a wasteful number, since it uses less digits than its factorization.

668892400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 668892400800 in words is "six hundred sixty-eight billion, eight hundred ninety-two million, four hundred thousand, eight hundred".