9748753920 has 160 divisors (see below), whose sum is σ = 34628631840. Its totient is φ = 2599649280.

The previous prime is 9748753913. The next prime is 9748753933. The reversal of 9748753920 is 293578479.

9748753920 is a `hidden beast` number, since 9 + 7 + 4 + 87 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401 + ... + 139640.

It is an arithmetic number, because the mean of its divisors is an integer number (216428949).

Almost surely, 2^9748753920 is an apocalyptic number.

9748753920 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 9748753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314315920).

9748753920 is an abundant number, since it is smaller than the sum of its proper divisors (24879877920).

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

9748753920 is a wasteful number, since it uses less digits than its factorization.

9748753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141073 (or 141051 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 9748753920 is about 98735.7783176899. The cubic root of 9748753920 is about 2136.2383271505.

The spelling of 9748753920 in words is "nine billion, seven hundred forty-eight million, seven hundred fifty-three thousand, nine hundred twenty".