9609687360 has 672 divisors, whose sum is σ = 41822656512. Its totient is φ = 1970749440.

The previous prime is 9609687349. The next prime is 9609687403. The reversal of 9609687360 is 637869069.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 9609687297 and 9609687306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9696465 + ... + 9697455.

It is an arithmetic number, because the mean of its divisors is an integer number (62236096).

Almost surely, 2^9609687360 is an apocalyptic number.

9609687360 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 9609687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20911328256).

9609687360 is an abundant number, since it is smaller than the sum of its proper divisors (32212969152).

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

9609687360 is a wasteful number, since it uses less digits than its factorization.

9609687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9609687360 is about 98029.0128482379. The cubic root of 9609687360 is about 2126.0317838776.

The spelling of 9609687360 in words is "nine billion, six hundred nine million, six hundred eighty-seven thousand, three hundred sixty".