9929740320 has 576 divisors, whose sum is σ = 37782339840. Its totient is φ = 2430590976.

The previous prime is 9929740253. The next prime is 9929740363. The reversal of 9929740320 is 230479299.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136023804 + ... + 136023876.

It is an arithmetic number, because the mean of its divisors is an integer number (65594340).

Almost surely, 2^9929740320 is an apocalyptic number.

9929740320 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 9929740320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18891169920).

9929740320 is an abundant number, since it is smaller than the sum of its proper divisors (27852599520).

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

9929740320 is a wasteful number, since it uses less digits than its factorization.

9929740320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9929740320 is about 99648.0823699082. The cubic root of 9929740320 is about 2149.3771637372.

The spelling of 9929740320 in words is "nine billion, nine hundred twenty-nine million, seven hundred forty thousand, three hundred twenty".