9684880960 has 56 divisors (see below), whose sum is σ = 24418731960. Its totient is φ = 3646070784.

The previous prime is 9684880957. The next prime is 9684880967. The reversal of 9684880960 is 690884869.

It can be written as a sum of positive squares in 4 ways, for example, as 3568389696 + 6116491264 = 59736^2 + 78208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9684880895 and 9684880904.

It is not an unprimeable number, because it can be changed into a prime (9684880967) by changing a digit.

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, 884715 + ... + 895594.

It is an arithmetic number, because the mean of its divisors is an integer number (436048785).

Almost surely, 2^9684880960 is an apocalyptic number.

It is an amenable number.

9684880960 is an abundant number, since it is smaller than the sum of its proper divisors (14733851000).

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

9684880960 is a wasteful number, since it uses less digits than its factorization.

9684880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780343 (or 1780333 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The square root of 9684880960 is about 98411.7927892791. The cubic root of 9684880960 is about 2131.5626200857.

The spelling of 9684880960 in words is "nine billion, six hundred eighty-four million, eight hundred eighty thousand, nine hundred sixty".