9746795520 has 1056 divisors, whose sum is σ = 43776585216. Its totient is φ = 1946419200.

The previous prime is 9746795507. The next prime is 9746795551. The reversal of 9746795520 is 255976479.

9746795520 is a `hidden beast` number, since 9 + 7 + 46 + 79 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145474527 + ... + 145474593.

Almost surely, 2^9746795520 is an apocalyptic number.

9746795520 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 9746795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888292608).

9746795520 is an abundant number, since it is smaller than the sum of its proper divisors (34029789696).

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

9746795520 is a wasteful number, since it uses less digits than its factorization.

9746795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The square root of 9746795520 is about 98725.8604419328. The cubic root of 9746795520 is about 2136.0952699164.

The spelling of 9746795520 in words is "nine billion, seven hundred forty-six million, seven hundred ninety-five thousand, five hundred twenty".