8672908972032 has 624 divisors, whose sum is σ = 27201516800640. Its totient is φ = 2755896016896.

The previous prime is 8672908972019. The next prime is 8672908972043. The reversal of 8672908972032 is 2302798092768.

8672908972032 is a `hidden beast` number, since 8 + 67 + 290 + 89 + 7 + 203 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10461892194 + ... + 10461893022.

It is an arithmetic number, because the mean of its divisors is an integer number (43592174360).

Almost surely, 2^{8672908972032} 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 8672908972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13600758400320).

8672908972032 is an abundant number, since it is smaller than the sum of its proper divisors (18528607828608).

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

8672908972032 is an equidigital number, since it uses as much as digits as its factorization.

8672908972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 8672908972032 in words is "eight trillion, six hundred seventy-two billion, nine hundred eight million, nine hundred seventy-two thousand, thirty-two".