9656313108480 has 960 divisors, whose sum is σ = 35455164544800. Its totient is φ = 2513004134400.

The previous prime is 9656313108479. The next prime is 9656313108503. The reversal of 9656313108480 is 848013136569.

9656313108480 is a `hidden beast` number, since 9 + 6 + 56 + 3 + 1 + 3 + 108 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6115460331 + ... + 6115461909.

Almost surely, 2^{9656313108480} is an apocalyptic number.

9656313108480 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 9656313108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17727582272400).

9656313108480 is an abundant number, since it is smaller than the sum of its proper divisors (25798851436320).

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

9656313108480 is a wasteful number, since it uses less digits than its factorization.

9656313108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 9656313108480 in words is "nine trillion, six hundred fifty-six billion, three hundred thirteen million, one hundred eight thousand, four hundred eighty".