9640128960 has 672 divisors, whose sum is σ = 42793920000. Its totient is φ = 1932779520.

The previous prime is 9640128917. The next prime is 9640128983. The reversal of 9640128960 is 698210469.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6430291 + ... + 6431789.

Almost surely, 2^9640128960 is an apocalyptic number.

9640128960 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 9640128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960000).

9640128960 is an abundant number, since it is smaller than the sum of its proper divisors (33153791040).

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

9640128960 is a wasteful number, since it uses less digits than its factorization.

9640128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9640128960 is about 98184.1583963523. The cubic root of 9640128960 is about 2128.2743677367.

The spelling of 9640128960 in words is "nine billion, six hundred forty million, one hundred twenty-eight thousand, nine hundred sixty".