9665612527968 has 240 divisors, whose sum is σ = 28915792290000. Its totient is φ = 3166420128768.

The previous prime is 9665612527877. The next prime is 9665612528021. The reversal of 9665612527968 is 8697252165669.

It is a happy number.

9665612527968 is a `hidden beast` number, since 9 + 6 + 6 + 5 + 6 + 1 + 2 + 527 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9665612527896 and 9665612527905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 866943258 + ... + 866954406.

It is an arithmetic number, because the mean of its divisors is an integer number (120482467875).

Almost surely, 2^{9665612527968} 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 9665612527968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457896145000).

9665612527968 is an abundant number, since it is smaller than the sum of its proper divisors (19250179762032).

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

9665612527968 is a wasteful number, since it uses less digits than its factorization.

9665612527968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16899 (or 16882 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 9665612527968 in words is "nine trillion, six hundred sixty-five billion, six hundred twelve million, five hundred twenty-seven thousand, nine hundred sixty-eight".