8073972816 has 160 divisors (see below), whose sum is σ = 26499637248. Its totient is φ = 2060674560.

The previous prime is 8073972793. The next prime is 8073972839. The reversal of 8073972816 is 6182793708.

It is an interprime number because it is at equal distance from previous prime (8073972793) and next prime (8073972839).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105595 + ... + 165221.

Almost surely, 2^8073972816 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 8073972816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249818624).

8073972816 is an abundant number, since it is smaller than the sum of its proper divisors (18425664432).

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

8073972816 is a wasteful number, since it uses less digits than its factorization.

8073972816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59689 (or 59683 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 8073972816 is about 89855.2881916251. The cubic root of 8073972816 is about 2006.1454984164.

The spelling of 8073972816 in words is "eight billion, seventy-three million, nine hundred seventy-two thousand, eight hundred sixteen".