668031712128 has 512 divisors, whose sum is σ = 2214921024000. Its totient is φ = 198948648960.

The previous prime is 668031712093. The next prime is 668031712133. The reversal of 668031712128 is 821217130866.

668031712128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181676626 + ... + 181680302.

It is an arithmetic number, because the mean of its divisors is an integer number (4326017625).

Almost surely, 2^668031712128 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 668031712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107460512000).

668031712128 is an abundant number, since it is smaller than the sum of its proper divisors (1546889311872).

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

668031712128 is an equidigital number, since it uses as much as digits as its factorization.

668031712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 668031712128 in words is "six hundred sixty-eight billion, thirty-one million, seven hundred twelve thousand, one hundred twenty-eight".