8000641968 has 120 divisors (see below), whose sum is σ = 22804675824. Its totient is φ = 2415198720.

The previous prime is 8000641939. The next prime is 8000641981. The reversal of 8000641968 is 8691460008.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1606330 + ... + 1611302.

Almost surely, 2^8000641968 is an apocalyptic number.

8000641968 is a gapful number since it is divisible by the number (88) 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 8000641968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11402337912).

8000641968 is an abundant number, since it is smaller than the sum of its proper divisors (14804033856).

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

8000641968 is a wasteful number, since it uses less digits than its factorization.

8000641968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8000641968 is about 89446.3077382180. The cubic root of 8000641968 is about 2000.0534959024.

The spelling of 8000641968 in words is "eight billion, six hundred forty-one thousand, nine hundred sixty-eight".