9640756125 has 288 divisors, whose sum is σ = 23770236672. Its totient is φ = 3695328000.

The previous prime is 9640756079. The next prime is 9640756217. The reversal of 9640756125 is 5216570469.

9640756125 is a `hidden beast` number, since 9 + 64 + 0 + 7 + 561 + 25 = 666.

9640756125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9640756125 - 2⁷ = 9640755997 is a prime.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7882264 + ... + 7883486.

It is an arithmetic number, because the mean of its divisors is an integer number (82535544).

Almost surely, 2^9640756125 is an apocalyptic number.

It is an amenable number.

9640756125 is an abundant number, since it is smaller than the sum of its proper divisors (14129480547).

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

9640756125 is a wasteful number, since it uses less digits than its factorization.

9640756125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 9640756125 is about 98187.3521641153. The cubic root of 9640756125 is about 2128.3205203091.

The spelling of 9640756125 in words is "nine billion, six hundred forty million, seven hundred fifty-six thousand, one hundred twenty-five".