8002643376 has 320 divisors, whose sum is σ = 27526238208. Its totient is φ = 1943322624.

The previous prime is 8002643333. The next prime is 8002643381. The reversal of 8002643376 is 6733462008.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3488886 + ... + 3491178.

Almost surely, 2^8002643376 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 8002643376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13763119104).

8002643376 is an abundant number, since it is smaller than the sum of its proper divisors (19523594832).

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

8002643376 is a wasteful number, since it uses less digits than its factorization.

8002643376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 8002643376 is about 89457.4948006035. The cubic root of 8002643376 is about 2000.2202570759.

The spelling of 8002643376 in words is "eight billion, two million, six hundred forty-three thousand, three hundred seventy-six".