668328297267200 has 384 divisors, whose sum is σ = 1712137404407040. Its totient is φ = 258519780556800.

The previous prime is 668328297267193. The next prime is 668328297267217. The reversal of 668328297267200 is 2762792823866.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37915024787 + ... + 37915042413.

It is an arithmetic number, because the mean of its divisors is an integer number (4458691157310).

Almost surely, 2^{668328297267200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668328297267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856068702203520).

668328297267200 is an abundant number, since it is smaller than the sum of its proper divisors (1043809107139840).

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

668328297267200 is a wasteful number, since it uses less digits than its factorization.

668328297267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19191 (or 19158 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 68.

The spelling of 668328297267200 in words is "six hundred sixty-eight trillion, three hundred twenty-eight billion, two hundred ninety-seven million, two hundred sixty-seven thousand, two hundred".