9829532672 has 44 divisors (see below), whose sum is σ = 19665324300. Its totient is φ = 4910800896.

The previous prime is 9829532663. The next prime is 9829532689. The reversal of 9829532672 is 2762359289.

It can be written as a sum of positive squares in 2 ways, for example, as 3592324096 + 6237208576 = 59936^2 + 78976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1583078 + ... + 1589274.

Almost surely, 2^9829532672 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 9829532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9832662150).

9829532672 is an abundant number, since it is smaller than the sum of its proper divisors (9835791628).

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

9829532672 is a wasteful number, since it uses less digits than its factorization.

9829532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7748 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 53.

The square root of 9829532672 is about 99143.9996772371. Note that the first 3 decimals coincide. The cubic root of 9829532672 is about 2142.1224373313.

The spelling of 9829532672 in words is "nine billion, eight hundred twenty-nine million, five hundred thirty-two thousand, six hundred seventy-two".