8001952960 has 28 divisors (see below), whose sum is σ = 19054651248. Its totient is φ = 3200781056.

The previous prime is 8001952927. The next prime is 8001952991. The reversal of 8001952960 is 692591008.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12502732 + ... + 12503371.

Almost surely, 2^8001952960 is an apocalyptic number.

8001952960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8001952960 is an abundant number, since it is smaller than the sum of its proper divisors (11052698288).

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

8001952960 is a wasteful number, since it uses less digits than its factorization.

8001952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25006120 (or 25006110 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 8001952960 is about 89453.6358120787. The cubic root of 8001952960 is about 2000.1627334252.

The spelling of 8001952960 in words is "eight billion, one million, nine hundred fifty-two thousand, nine hundred sixty".