9608016000 has 512 divisors, whose sum is σ = 35928023040. Its totient is φ = 2250240000.

The previous prime is 9608015957. The next prime is 9608016023. The reversal of 9608016000 is 6108069.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16367707 + ... + 16368293.

It is an arithmetic number, because the mean of its divisors is an integer number (70171920).

Almost surely, 2^9608016000 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 9608016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964011520).

9608016000 is an abundant number, since it is smaller than the sum of its proper divisors (26320007040).

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

9608016000 is a wasteful number, since it uses less digits than its factorization.

9608016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9608016000 is about 98020.4876543674. The cubic root of 9608016000 is about 2125.9085203979.

The spelling of 9608016000 in words is "nine billion, six hundred eight million, sixteen thousand".