668860416000 has 1176 divisors, whose sum is σ = 2860648181664. Its totient is φ = 152882380800.

The previous prime is 668860415989. The next prime is 668860416013. The reversal of 668860416000 is 614068866.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 6! ⋅ (2!)⁸.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 95551487997 + ... + 95551488003.

It is an arithmetic number, because the mean of its divisors is an integer number (2432523964).

Almost surely, 2^668860416000 is an apocalyptic number.

668860416000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

668860416000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668860416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430324090832).

668860416000 is an abundant number, since it is smaller than the sum of its proper divisors (2191787765664).

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

668860416000 is an frugal number, since it uses more digits than its factorization.

668860416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 668860416000 in words is "six hundred sixty-eight billion, eight hundred sixty million, four hundred sixteen thousand".