668682055680 has 832 divisors, whose sum is σ = 2309516012160. Its totient is φ = 164886478848.

The previous prime is 668682055649. The next prime is 668682055687. The reversal of 668682055680 is 86550286866.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668682055687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6893629392 + ... + 6893629488.

Almost surely, 2^668682055680 is an apocalyptic number.

668682055680 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 668682055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154758006080).

668682055680 is an abundant number, since it is smaller than the sum of its proper divisors (1640833956480).

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

668682055680 is a wasteful number, since it uses less digits than its factorization.

668682055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 668682055680 in words is "six hundred sixty-eight billion, six hundred eighty-two million, fifty-five thousand, six hundred eighty".