8005032800384 has 64 divisors (see below), whose sum is σ = 16055118068640. Its totient is φ = 3975577583616.

The previous prime is 8005032800383. The next prime is 8005032800393. The reversal of 8005032800384 is 4830082305008.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (8005032800383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15632699 + ... + 16136645.

Almost surely, 2^{8005032800384} 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 8005032800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027559034320).

8005032800384 is an abundant number, since it is smaller than the sum of its proper divisors (8050085268256).

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

8005032800384 is a wasteful number, since it uses less digits than its factorization.

8005032800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504797 (or 504785 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 8005032800384 in words is "eight trillion, five billion, thirty-two million, eight hundred thousand, three hundred eighty-four".