9637860960 has 1152 divisors, whose sum is σ = 44029440000. Its totient is φ = 1902071808.

The previous prime is 9637860889. The next prime is 9637860977. The reversal of 9637860960 is 690687369.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9637860897 and 9637860906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121998201 + ... + 121998279.

It is an arithmetic number, because the mean of its divisors is an integer number (38220000).

Almost surely, 2^9637860960 is an apocalyptic number.

9637860960 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 9637860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720000).

9637860960 is an abundant number, since it is smaller than the sum of its proper divisors (34391579040).

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

9637860960 is a wasteful number, since it uses less digits than its factorization.

9637860960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

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

The square root of 9637860960 is about 98172.6079922501. The cubic root of 9637860960 is about 2128.1074507147.

The spelling of 9637860960 in words is "nine billion, six hundred thirty-seven million, eight hundred sixty thousand, nine hundred sixty".