8035875968 has 64 divisors (see below), whose sum is σ = 16143580800. Its totient is φ = 3984325632.

The previous prime is 8035875929. The next prime is 8035875977. The reversal of 8035875968 is 8695785308.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10615046 + ... + 10615802.

It is an arithmetic number, because the mean of its divisors is an integer number (252243450).

Almost surely, 2^8035875968 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 8035875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8071790400).

8035875968 is an abundant number, since it is smaller than the sum of its proper divisors (8107704832).

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

8035875968 is a wasteful number, since it uses less digits than its factorization.

8035875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 59.

The square root of 8035875968 is about 89643.0475162463. The cubic root of 8035875968 is about 2002.9852060555.

The spelling of 8035875968 in words is "eight billion, thirty-five million, eight hundred seventy-five thousand, nine hundred sixty-eight".