668665266792012 has 768 divisors, whose sum is σ = 2090852613427200. Its totient is φ = 180772904632320.

The previous prime is 668665266792007. The next prime is 668665266792097. The reversal of 668665266792012 is 210297662566866.

668665266792012 is a `hidden beast` number, since 6 + 6 + 8 + 6 + 6 + 526 + 6 + 7 + 92 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×668665266792012² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 309424000212 + ... + 309424002372.

It is an arithmetic number, because the mean of its divisors is an integer number (2722464340400).

Almost surely, 2^{668665266792012} 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 668665266792012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045426306713600).

668665266792012 is an abundant number, since it is smaller than the sum of its proper divisors (1422187346635188).

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

668665266792012 is a wasteful number, since it uses less digits than its factorization.

668665266792012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 668665266792012 in words is "six hundred sixty-eight trillion, six hundred sixty-five billion, two hundred sixty-six million, seven hundred ninety-two thousand, twelve".