668318492160 has 960 divisors, whose sum is σ = 2691427362624. Its totient is φ = 151466803200.

The previous prime is 668318492141. The next prime is 668318492183. The reversal of 668318492160 is 61294813866.

668318492160 is a `hidden beast` number, since 6 + 6 + 83 + 18 + 492 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 668318492097 and 668318492106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 779834452 + ... + 779835308.

Almost surely, 2^668318492160 is an apocalyptic number.

668318492160 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 668318492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345713681312).

668318492160 is an abundant number, since it is smaller than the sum of its proper divisors (2023108870464).

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

668318492160 is a wasteful number, since it uses less digits than its factorization.

668318492160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 668318492160 in words is "six hundred sixty-eight billion, three hundred eighteen million, four hundred ninety-two thousand, one hundred sixty".