9665407137360 has 160 divisors (see below), whose sum is σ = 32296855868928. Its totient is φ = 2377019289600.

The previous prime is 9665407137349. The next prime is 9665407137401. The reversal of 9665407137360 is 637317045669.

It is a self number, because there is not a number n which added to its sum of digits gives 9665407137360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037060 + ... + 4845660.

Almost surely, 2^{9665407137360} 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 9665407137360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148427934464).

9665407137360 is an abundant number, since it is smaller than the sum of its proper divisors (22631448731568).

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

9665407137360 is a wasteful number, since it uses less digits than its factorization.

9665407137360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809733 (or 2809727 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 57.

The spelling of 9665407137360 in words is "nine trillion, six hundred sixty-five billion, four hundred seven million, one hundred thirty-seven thousand, three hundred sixty".