8093875968 has 144 divisors (see below), whose sum is σ = 25195161600. Its totient is φ = 2555919360.

The previous prime is 8093875957. The next prime is 8093875981. The reversal of 8093875968 is 8695783908.

8093875968 is a `hidden beast` number, since 8 + 0 + 9 + 38 + 7 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 100513 + ... + 162143.

It is an arithmetic number, because the mean of its divisors is an integer number (174966400).

Almost surely, 2^8093875968 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 8093875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12597580800).

8093875968 is an abundant number, since it is smaller than the sum of its proper divisors (17101285632).

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

8093875968 is a wasteful number, since it uses less digits than its factorization.

8093875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61675 (or 61655 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The square root of 8093875968 is about 89965.9711668806. The cubic root of 8093875968 is about 2007.7925956265.

The spelling of 8093875968 in words is "eight billion, ninety-three million, eight hundred seventy-five thousand, nine hundred sixty-eight".