8640131328 has 252 divisors, whose sum is σ = 26281858288. Its totient is φ = 2832952320.

The previous prime is 8640131281. The next prime is 8640131333. The reversal of 8640131328 is 8231310468.

8640131328 is a `hidden beast` number, since 8 + 640 + 1 + 3 + 1 + 3 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8640131292 and 8640131301.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12503463 + ... + 12504153.

Almost surely, 2^8640131328 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 8640131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13140929144).

8640131328 is an abundant number, since it is smaller than the sum of its proper divisors (17641726960).

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

8640131328 is an frugal number, since it uses more digits than its factorization.

8640131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8640131328 is about 92952.3067384559. The cubic root of 8640131328 is about 2051.9815326131.

The spelling of 8640131328 in words is "eight billion, six hundred forty million, one hundred thirty-one thousand, three hundred twenty-eight".