9645975360 has 504 divisors, whose sum is σ = 39942775080. Its totient is φ = 2127863808.

The previous prime is 9645975343. The next prime is 9645975373. The reversal of 9645975360 is 635795469.

9645975360 is a `hidden beast` number, since 96 + 459 + 75 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 249387264 + 9396588096 = 15792^2 + 96936^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 9645975297 and 9645975306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4091302 + ... + 4093658.

Almost surely, 2^9645975360 is an apocalyptic number.

9645975360 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 9645975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19971387540).

9645975360 is an abundant number, since it is smaller than the sum of its proper divisors (30296799720).

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

9645975360 is a wasteful number, since it uses less digits than its factorization.

9645975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 9645975360 is about 98213.9265073951. The cubic root of 9645975360 is about 2128.7045220358.

The spelling of 9645975360 in words is "nine billion, six hundred forty-five million, nine hundred seventy-five thousand, three hundred sixty".