668792217600 has 1512 divisors, whose sum is σ = 2754764096760. Its totient is φ = 154581073920.

The previous prime is 668792217559. The next prime is 668792217607. The reversal of 668792217600 is 6712297866.

668792217600 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 9 + 2 + 21 + 7 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668792217607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5918515144 + ... + 5918515256.

Almost surely, 2^668792217600 is an apocalyptic number.

668792217600 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 668792217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377382048380).

668792217600 is an abundant number, since it is smaller than the sum of its proper divisors (2085971879160).

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

668792217600 is a wasteful number, since it uses less digits than its factorization.

668792217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 668792217600 in words is "six hundred sixty-eight billion, seven hundred ninety-two million, two hundred seventeen thousand, six hundred".