8500972032 has 480 divisors, whose sum is σ = 29885087232. Its totient is φ = 2361913344.

The previous prime is 8500972031. The next prime is 8500972079. The reversal of 8500972032 is 2302790058.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8500972031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37449103 + ... + 37449329.

Almost surely, 2^8500972032 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 8500972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942543616).

8500972032 is an abundant number, since it is smaller than the sum of its proper divisors (21384115200).

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

8500972032 is an equidigital number, since it uses as much as digits as its factorization.

8500972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8500972032 is about 92200.7160058966. The cubic root of 8500972032 is about 2040.9053420988.

The spelling of 8500972032 in words is "eight billion, five hundred million, nine hundred seventy-two thousand, thirty-two".