8006784032 has 96 divisors (see below), whose sum is σ = 18022435200. Its totient is φ = 3468791808.

The previous prime is 8006784017. The next prime is 8006784043. The reversal of 8006784032 is 2304876008.

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 15 ways as a sum of consecutive naturals, for example, 3103319 + ... + 3105897.

It is an arithmetic number, because the mean of its divisors is an integer number (187733700).

Almost surely, 2^8006784032 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 8006784032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011217600).

8006784032 is an abundant number, since it is smaller than the sum of its proper divisors (10015651168).

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

8006784032 is a wasteful number, since it uses less digits than its factorization.

8006784032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 8006784032 is about 89480.6349552796. The cubic root of 8006784032 is about 2000.5651762728.

The spelling of 8006784032 in words is "eight billion, six million, seven hundred eighty-four thousand, thirty-two".