9659368831680 has 336 divisors, whose sum is σ = 33582191123520. Its totient is φ = 2548221272064.

The previous prime is 9659368831663. The next prime is 9659368831681. The reversal of 9659368831680 is 861388639569.

9659368831680 is a `hidden beast` number, since 96 + 5 + 93 + 68 + 8 + 316 + 80 = 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 = 9659368831599 and 9659368831608.

It is not an unprimeable number, because it can be changed into a prime (9659368831681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103497997 + ... + 103591283.

Almost surely, 2^{9659368831680} is an apocalyptic number.

9659368831680 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 9659368831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16791095561760).

9659368831680 is an abundant number, since it is smaller than the sum of its proper divisors (23922822291840).

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

9659368831680 is a wasteful number, since it uses less digits than its factorization.

9659368831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93696 (or 93683 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 9659368831680 in words is "nine trillion, six hundred fifty-nine billion, three hundred sixty-eight million, eight hundred thirty-one thousand, six hundred eighty".