8329972096 has 64 divisors (see below), whose sum is σ = 17545734000. Its totient is φ = 3928283136.

The previous prime is 8329972033. The next prime is 8329972109. The reversal of 8329972096 is 6902799238.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549450 + ... + 564406.

Almost surely, 2^8329972096 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 8329972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772867000).

8329972096 is an abundant number, since it is smaller than the sum of its proper divisors (9215761904).

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

8329972096 is a wasteful number, since it uses less digits than its factorization.

8329972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15219 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The square root of 8329972096 is about 91268.6808056301. The cubic root of 8329972096 is about 2027.1280455421.

The spelling of 8329972096 in words is "eight billion, three hundred twenty-nine million, nine hundred seventy-two thousand, ninety-six".