9649765125 has 576 divisors, whose sum is σ = 25375633920. Its totient is φ = 3421440000.

The previous prime is 9649765123. The next prime is 9649765159. The reversal of 9649765125 is 5215679469.

9649765125 is a `hidden beast` number, since 96 + 497 + 65 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 9649765125 - 2¹ = 9649765123 is a prime.

It is a super-3 number, since 3×9649765125³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9649765123) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 235360105 + ... + 235360145.

It is an arithmetic number, because the mean of its divisors is an integer number (44054920).

Almost surely, 2^9649765125 is an apocalyptic number.

9649765125 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9649765125 is an abundant number, since it is smaller than the sum of its proper divisors (15725868795).

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

9649765125 is a wasteful number, since it uses less digits than its factorization.

9649765125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 9649765125 is about 98233.2180323947. The cubic root of 9649765125 is about 2128.9832646656.

The spelling of 9649765125 in words is "nine billion, six hundred forty-nine million, seven hundred sixty-five thousand, one hundred twenty-five".