9407868960 has 384 divisors, whose sum is σ = 34746776064. Its totient is φ = 2095349760.

The previous prime is 9407868959. The next prime is 9407868983. The reversal of 9407868960 is 698687049.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9407868960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40377004 + ... + 40377236.

It is an arithmetic number, because the mean of its divisors is an integer number (90486396).

Almost surely, 2^9407868960 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 9407868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373388032).

9407868960 is an abundant number, since it is smaller than the sum of its proper divisors (25338907104).

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

9407868960 is a wasteful number, since it uses less digits than its factorization.

9407868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 9407868960 is about 96994.1697216900. The cubic root of 9407868960 is about 2111.0430337994.

The spelling of 9407868960 in words is "nine billion, four hundred seven million, eight hundred sixty-eight thousand, nine hundred sixty".