9653736960 has 720 divisors, whose sum is σ = 41261796576. Its totient is φ = 2072641536.

The previous prime is 9653736947. The next prime is 9653736971. The reversal of 9653736960 is 696373569.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 9653736897 and 9653736906.

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, 19192069 + ... + 19192571.

Almost surely, 2^9653736960 is an apocalyptic number.

9653736960 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 9653736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20630898288).

9653736960 is an abundant number, since it is smaller than the sum of its proper divisors (31608059616).

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

9653736960 is a wasteful number, since it uses less digits than its factorization.

9653736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The square root of 9653736960 is about 98253.4323064594. The cubic root of 9653736960 is about 2129.2753204909.

The spelling of 9653736960 in words is "nine billion, six hundred fifty-three million, seven hundred thirty-six thousand, nine hundred sixty".