668084813172 has 216 divisors, whose sum is σ = 2070359071872. Its totient is φ = 177869001600.

The previous prime is 668084813167. The next prime is 668084813183. The reversal of 668084813172 is 271318480866.

668084813172 is a `hidden beast` number, since 6 + 68 + 0 + 8 + 481 + 31 + 72 = 666.

It is a super-2 number, since 2×668084813172² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5489097 + ... + 5609487.

Almost surely, 2^668084813172 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 668084813172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035179535936).

668084813172 is an abundant number, since it is smaller than the sum of its proper divisors (1402274258700).

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

668084813172 is a wasteful number, since it uses less digits than its factorization.

668084813172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120507 (or 120483 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 668084813172 in words is "six hundred sixty-eight billion, eighty-four million, eight hundred thirteen thousand, one hundred seventy-two".