668947086100 has 72 divisors (see below), whose sum is σ = 1502336266200. Its totient is φ = 258237504000.

The previous prime is 668947086079. The next prime is 668947086151. The reversal of 668947086100 is 1680749866.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 562353796 + 668384732304 = 23714^2 + 817548^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6646150 + ... + 6746050.

It is an arithmetic number, because the mean of its divisors is an integer number (20865781475).

Almost surely, 2^668947086100 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 668947086100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751168133100).

668947086100 is an abundant number, since it is smaller than the sum of its proper divisors (833389180100).

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

668947086100 is a wasteful number, since it uses less digits than its factorization.

668947086100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102253 (or 102246 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 668947086100 in words is "six hundred sixty-eight billion, nine hundred forty-seven million, eighty-six thousand, one hundred".