9600128640 has 256 divisors, whose sum is σ = 34174569600. Its totient is φ = 2546933760.

The previous prime is 9600128627. The next prime is 9600128653. The reversal of 9600128640 is 468210069.

9600128640 is a `hidden beast` number, since 9 + 6 + 0 + 0 + 1 + 2 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (9600128627) and next prime (9600128653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9600128595 and 9600128604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3644764 + ... + 3647396.

Almost surely, 2^9600128640 is an apocalyptic number.

9600128640 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 9600128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087284800).

9600128640 is an abundant number, since it is smaller than the sum of its proper divisors (24574440960).

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

9600128640 is a wasteful number, since it uses less digits than its factorization.

9600128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9600128640 is about 97980.2461723791. The cubic root of 9600128640 is about 2125.3266314060.

The spelling of 9600128640 in words is "nine billion, six hundred million, one hundred twenty-eight thousand, six hundred forty".