8002374912 has 864 divisors, whose sum is σ = 30855831552. Its totient is φ = 2014543872.

The previous prime is 8002374881. The next prime is 8002374973. The reversal of 8002374912 is 2194732008.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170263273 + ... + 170263319.

It is an arithmetic number, because the mean of its divisors is an integer number (35712768).

Almost surely, 2^8002374912 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 8002374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427915776).

8002374912 is an abundant number, since it is smaller than the sum of its proper divisors (22853456640).

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

8002374912 is a wasteful number, since it uses less digits than its factorization.

8002374912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8002374912 is about 89455.9942765156. The cubic root of 8002374912 is about 2000.1978897525.

The spelling of 8002374912 in words is "eight billion, two million, three hundred seventy-four thousand, nine hundred twelve".