9759460960 has 48 divisors (see below), whose sum is σ = 24270246000. Its totient is φ = 3698320896.

The previous prime is 9759460957. The next prime is 9759461003. The reversal of 9759460960 is 690649579.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1602135 + ... + 1608214.

It is an arithmetic number, because the mean of its divisors is an integer number (505630125).

Almost surely, 2^9759460960 is an apocalyptic number.

It is an amenable number.

9759460960 is an abundant number, since it is smaller than the sum of its proper divisors (14510785040).

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

9759460960 is a wasteful number, since it uses less digits than its factorization.

9759460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210383 (or 3210375 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The square root of 9759460960 is about 98789.9841077019. The cubic root of 9759460960 is about 2137.0201166591.

The spelling of 9759460960 in words is "nine billion, seven hundred fifty-nine million, four hundred sixty thousand, nine hundred sixty".