8640784128 has 144 divisors (see below), whose sum is σ = 24294166400. Its totient is φ = 2718904320.

The previous prime is 8640784127. The next prime is 8640784169. The reversal of 8640784128 is 8214870468.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8640784127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4829058 + ... + 4830846.

Almost surely, 2^8640784128 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 8640784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147083200).

8640784128 is an abundant number, since it is smaller than the sum of its proper divisors (15653382272).

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

8640784128 is a wasteful number, since it uses less digits than its factorization.

8640784128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 8640784128 is about 92955.8181503450. The cubic root of 8640784128 is about 2052.0332100610.

The spelling of 8640784128 in words is "eight billion, six hundred forty million, seven hundred eighty-four thousand, one hundred twenty-eight".