668121294336 has 160 divisors (see below), whose sum is σ = 1924719667200. Its totient is φ = 205146587136.

The previous prime is 668121294301. The next prime is 668121294349. The reversal of 668121294336 is 633492121866.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955065 + ... + 1499463.

It is an arithmetic number, because the mean of its divisors is an integer number (12029497920).

Almost surely, 2^668121294336 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 668121294336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962359833600).

668121294336 is an abundant number, since it is smaller than the sum of its proper divisors (1256598372864).

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

668121294336 is a wasteful number, since it uses less digits than its factorization.

668121294336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544484 (or 544468 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 668121294336 in words is "six hundred sixty-eight billion, one hundred twenty-one million, two hundred ninety-four thousand, three hundred thirty-six".