9609209809680 has 320 divisors, whose sum is σ = 33813163319040. Its totient is φ = 2237881540608.

The previous prime is 9609209809679. The next prime is 9609209809723. The reversal of 9609209809680 is 869089029069.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44767894 + ... + 44982026.

It is an arithmetic number, because the mean of its divisors is an integer number (105666135372).

Almost surely, 2^{9609209809680} 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 9609209809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906581659520).

9609209809680 is an abundant number, since it is smaller than the sum of its proper divisors (24203953509360).

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

9609209809680 is a wasteful number, since it uses less digits than its factorization.

9609209809680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214938 (or 214932 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 66.

The spelling of 9609209809680 in words is "nine trillion, six hundred nine billion, two hundred nine million, eight hundred nine thousand, six hundred eighty".