668333164928 has 512 divisors, whose sum is σ = 1698931584000. Its totient is φ = 258753331200.

The previous prime is 668333164921. The next prime is 668333164937. The reversal of 668333164928 is 829461333866.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668333164921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3733704743 + ... + 3733704921.

It is an arithmetic number, because the mean of its divisors is an integer number (3318225750).

Almost surely, 2^668333164928 is an apocalyptic number.

668333164928 is a gapful number since it is divisible by the number (68) 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 668333164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849465792000).

668333164928 is an abundant number, since it is smaller than the sum of its proper divisors (1030598419072).

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

668333164928 is a wasteful number, since it uses less digits than its factorization.

668333164928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 293 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 59.

The spelling of 668333164928 in words is "six hundred sixty-eight billion, three hundred thirty-three million, one hundred sixty-four thousand, nine hundred twenty-eight".