9827934144 has 112 divisors (see below), whose sum is σ = 30409091328. Its totient is φ = 2742663168.

The previous prime is 9827934121. The next prime is 9827934229. The reversal of 9827934144 is 4414397289.

It is a tau number, because it is divible by the number of its divisors (112).

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, 27237 + ... + 142820.

It is an arithmetic number, because the mean of its divisors is an integer number (271509744).

Almost surely, 2^9827934144 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 9827934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15204545664).

9827934144 is an abundant number, since it is smaller than the sum of its proper divisors (20581157184).

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

9827934144 is a wasteful number, since it uses less digits than its factorization.

9827934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170122 (or 170112 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 9827934144 is about 99135.9377017235. The cubic root of 9827934144 is about 2142.0063101307.

The spelling of 9827934144 in words is "nine billion, eight hundred twenty-seven million, nine hundred thirty-four thousand, one hundred forty-four".