320140975168 has 112 divisors (see below), whose sum is σ = 729208396800. Its totient is φ = 136604805120.

The previous prime is 320140975117. The next prime is 320140975177. The reversal of 320140975168 is 861579041023.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123557553 + ... + 123560143.

It is a 1-persistent number, because it is pandigital, but 2⋅320140975168 = 640281950336 is not.

Almost surely, 2^320140975168 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 320140975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364604198400).

320140975168 is an abundant number, since it is smaller than the sum of its proper divisors (409067421632).

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

320140975168 is a wasteful number, since it uses less digits than its factorization.

320140975168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 320140975168 in words is "three hundred twenty billion, one hundred forty million, nine hundred seventy-five thousand, one hundred sixty-eight".