9613680000 has 320 divisors, whose sum is σ = 32721963120. Its totient is φ = 2498560000.

The previous prime is 9613679981. The next prime is 9613680007. The reversal of 9613680000 is 863169.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9613680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9839512 + ... + 9840488.

Almost surely, 2^9613680000 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 9613680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16360981560).

9613680000 is an abundant number, since it is smaller than the sum of its proper divisors (23108283120).

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

9613680000 is an equidigital number, since it uses as much as digits as its factorization.

9613680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 9613680000 is about 98049.3753167250. The cubic root of 9613680000 is about 2126.3261848605.

The spelling of 9613680000 in words is "nine billion, six hundred thirteen million, six hundred eighty thousand".