9929738160 has 140 divisors (see below), whose sum is σ = 34614330672. Its totient is φ = 2647914624.

The previous prime is 9929738107. The next prime is 9929738183. The reversal of 9929738160 is 618379299.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 9929738097 and 9929738106.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26812 + ... + 143451.

Almost surely, 2^9929738160 is an apocalyptic number.

9929738160 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 9929738160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307165336).

9929738160 is an abundant number, since it is smaller than the sum of its proper divisors (24684592512).

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

9929738160 is a wasteful number, since it uses less digits than its factorization.

9929738160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170294 (or 170273 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 9929738160 is about 99648.0715317662. The cubic root of 9929738160 is about 2149.3770078870.

The spelling of 9929738160 in words is "nine billion, nine hundred twenty-nine million, seven hundred thirty-eight thousand, one hundred sixty".