9746329320 has 768 divisors, whose sum is σ = 42103756800. Its totient is φ = 1985679360.

The previous prime is 9746329297. The next prime is 9746329321. The reversal of 9746329320 is 239236479.

9746329320 is a `hidden beast` number, since 9 + 7 + 4 + 632 + 9 + 3 + 2 + 0 = 666.

9746329320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9746329321) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 21326532 + ... + 21326988.

It is an arithmetic number, because the mean of its divisors is an integer number (54822600).

Almost surely, 2^9746329320 is an apocalyptic number.

9746329320 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 9746329320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051878400).

9746329320 is an abundant number, since it is smaller than the sum of its proper divisors (32357427480).

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

9746329320 is a wasteful number, since it uses less digits than its factorization.

9746329320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 9746329320 is about 98723.4993302000. The cubic root of 9746329320 is about 2136.0612121077.

The spelling of 9746329320 in words is "nine billion, seven hundred forty-six million, three hundred twenty-nine thousand, three hundred twenty".