9935749120 has 256 divisors, whose sum is σ = 26895564000. Its totient is φ = 3491758080.

The previous prime is 9935749037. The next prime is 9935749123. The reversal of 9935749120 is 219475399.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×9935749120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9935749123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66682806 + ... + 66682954.

Almost surely, 2^9935749120 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 9935749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447782000).

9935749120 is an abundant number, since it is smaller than the sum of its proper divisors (16959814880).

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

9935749120 is a wasteful number, since it uses less digits than its factorization.

9935749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

The square root of 9935749120 is about 99678.2279136221. The cubic root of 9935749120 is about 2149.8106283540.

The spelling of 9935749120 in words is "nine billion, nine hundred thirty-five million, seven hundred forty-nine thousand, one hundred twenty".