9929170944 has 672 divisors, whose sum is σ = 37652065920. Its totient is φ = 2530344960.

The previous prime is 9929170921. The next prime is 9929170963. The reversal of 9929170944 is 4490719299.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9929170944² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187342822 + ... + 187342874.

It is an arithmetic number, because the mean of its divisors is an integer number (56029860).

Almost surely, 2^9929170944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9929170944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18826032960).

9929170944 is an abundant number, since it is smaller than the sum of its proper divisors (27722894976).

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

9929170944 is a wasteful number, since it uses less digits than its factorization.

9929170944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

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

The square root of 9929170944 is about 99645.2253948979. The cubic root of 9929170944 is about 2149.3360808513.

The spelling of 9929170944 in words is "nine billion, nine hundred twenty-nine million, one hundred seventy thousand, nine hundred forty-four".