9639864240 has 160 divisors (see below), whose sum is σ = 30748032000. Its totient is φ = 2496829440.

The previous prime is 9639864193. The next prime is 9639864251. The reversal of 9639864240 is 424689369.

9639864240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349711 + ... + 2353809.

It is an arithmetic number, because the mean of its divisors is an integer number (192175200).

Almost surely, 2^9639864240 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 9639864240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15374016000).

9639864240 is an abundant number, since it is smaller than the sum of its proper divisors (21108167760).

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

9639864240 is a wasteful number, since it uses less digits than its factorization.

9639864240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 9639864240 is about 98182.8103081186. The cubic root of 9639864240 is about 2128.2548866021.

The spelling of 9639864240 in words is "nine billion, six hundred thirty-nine million, eight hundred sixty-four thousand, two hundred forty".