9757872959 has 24 divisors (see below), whose sum is σ = 10970715168. Its totient is φ = 8647511040.

The previous prime is 9757872953. The next prime is 9757872967. The reversal of 9757872959 is 9592787579.

9757872959 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9757872959 - 2²⁴ = 9741095743 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9757872953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020119 + ... + 1029639.

It is an arithmetic number, because the mean of its divisors is an integer number (457113132).

Almost surely, 2^9757872959 is an apocalyptic number.

9757872959 is a deficient number, since it is larger than the sum of its proper divisors (1212842209).

9757872959 is a wasteful number, since it uses less digits than its factorization.

9757872959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9743 (or 9724 counting only the distinct ones).

The product of its digits is 100018800, while the sum is 68.

The square root of 9757872959 is about 98781.9465236437. The cubic root of 9757872959 is about 2136.9042026698.

The spelling of 9757872959 in words is "nine billion, seven hundred fifty-seven million, eight hundred seventy-two thousand, nine hundred fifty-nine".