8247972096 has 864 divisors, whose sum is σ = 31998640128. Its totient is φ = 2060328960.

The previous prime is 8247972079. The next prime is 8247972107. The reversal of 8247972096 is 6902797428.

8247972096 is a `hidden beast` number, since 82 + 479 + 7 + 2 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175488745 + ... + 175488791.

Almost surely, 2^8247972096 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 8247972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999320064).

8247972096 is an abundant number, since it is smaller than the sum of its proper divisors (23750668032).

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

8247972096 is a wasteful number, since it uses less digits than its factorization.

8247972096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 8247972096 is about 90818.3466927250. The cubic root of 8247972096 is about 2020.4544362025.

The spelling of 8247972096 in words is "eight billion, two hundred forty-seven million, nine hundred seventy-two thousand, ninety-six".