9609384960 has 528 divisors, whose sum is σ = 39321265152. Its totient is φ = 2125578240.

The previous prime is 9609384949. The next prime is 9609384973. The reversal of 9609384960 is 694839069.

It is a happy number.

9609384960 is a `hidden beast` number, since 9 + 60 + 93 + 8 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9609384897 and 9609384906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309980145 + ... + 309980175.

Almost surely, 2^9609384960 is an apocalyptic number.

9609384960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9609384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19660632576).

9609384960 is an abundant number, since it is smaller than the sum of its proper divisors (29711880192).

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

9609384960 is an equidigital number, since it uses as much as digits as its factorization.

9609384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 9609384960 is about 98027.4704355876. The cubic root of 9609384960 is about 2126.0094828137.

The spelling of 9609384960 in words is "nine billion, six hundred nine million, three hundred eighty-four thousand, nine hundred sixty".