9608000856480 has 288 divisors, whose sum is σ = 35563437262080. Its totient is φ = 2348031006720.

The previous prime is 9608000856409. The next prime is 9608000856491. The reversal of 9608000856480 is 846580008069.

It is a happy number.

9608000856480 is a `hidden beast` number, since 9 + 6 + 0 + 80 + 0 + 0 + 85 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 755865 + ... + 4448295.

It is an arithmetic number, because the mean of its divisors is an integer number (123484157160).

Almost surely, 2^{9608000856480} is an apocalyptic number.

9608000856480 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 9608000856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781718631040).

9608000856480 is an abundant number, since it is smaller than the sum of its proper divisors (25955436405600).

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

9608000856480 is a wasteful number, since it uses less digits than its factorization.

9608000856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692604 (or 3692593 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 9608000856480 in words is "nine trillion, six hundred eight billion, eight hundred fifty-six thousand, four hundred eighty".