9675735960 has 192 divisors, whose sum is σ = 32686143840. Its totient is φ = 2288281600.

The previous prime is 9675735913. The next prime is 9675735961. The reversal of 9675735960 is 695375769.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9675735960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9675735961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587194 + ... + 603446.

Almost surely, 2^9675735960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9675735960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343071920).

9675735960 is an abundant number, since it is smaller than the sum of its proper divisors (23010407880).

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

9675735960 is a wasteful number, since it uses less digits than its factorization.

9675735960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16330 (or 16315 counting only the distinct ones).

The product of its (nonzero) digits is 10716300, while the sum is 57.

The square root of 9675735960 is about 98365.3188883155. The cubic root of 9675735960 is about 2130.8914957163.

The spelling of 9675735960 in words is "nine billion, six hundred seventy-five million, seven hundred thirty-five thousand, nine hundred sixty".