8001968832 has 672 divisors, whose sum is σ = 28915522560. Its totient is φ = 2149355520.

The previous prime is 8001968813. The next prime is 8001968881. The reversal of 8001968832 is 2388691008.

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 95 ways as a sum of consecutive naturals, for example, 150980518 + ... + 150980570.

Almost surely, 2^8001968832 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 8001968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457761280).

8001968832 is an abundant number, since it is smaller than the sum of its proper divisors (20913553728).

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

8001968832 is a wasteful number, since it uses less digits than its factorization.

8001968832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8001968832 is about 89453.7245283839. The cubic root of 8001968832 is about 2000.1640558758.

The spelling of 8001968832 in words is "eight billion, one million, nine hundred sixty-eight thousand, eight hundred thirty-two".