668616369696 has 768 divisors, whose sum is σ = 2314309294080. Its totient is φ = 185542410240.

The previous prime is 668616369691. The next prime is 668616369697. The reversal of 668616369696 is 696963616866.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (668616369691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 978940171 + ... + 978940853.

It is an arithmetic number, because the mean of its divisors is an integer number (3013423560).

Almost surely, 2^668616369696 is an apocalyptic number.

668616369696 is a gapful number since it is divisible by the number (66) 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 668616369696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157154647040).

668616369696 is an abundant number, since it is smaller than the sum of its proper divisors (1645692924384).

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

668616369696 is a wasteful number, since it uses less digits than its factorization.

668616369696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 872 counting only the distinct ones).

The product of its digits is 544195584, while the sum is 72.

The spelling of 668616369696 in words is "six hundred sixty-eight billion, six hundred sixteen million, three hundred sixty-nine thousand, six hundred ninety-six".