9833730048 has 104 divisors (see below), whose sum is σ = 29133748800. Its totient is φ = 3277873152.

The previous prime is 9833730047. The next prime is 9833730059. The reversal of 9833730048 is 8400373389.

It is a happy number.

9833730048 is a `hidden beast` number, since 9 + 8 + 337 + 300 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9833729985 and 9833730012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9833730043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66133 + ... + 155051.

It is an arithmetic number, because the mean of its divisors is an integer number (280132200).

Almost surely, 2^9833730048 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 9833730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14566874400).

9833730048 is an abundant number, since it is smaller than the sum of its proper divisors (19300018752).

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

9833730048 is an equidigital number, since it uses as much as digits as its factorization.

9833730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88952 (or 88924 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9833730048 is about 99165.1654967610. The cubic root of 9833730048 is about 2142.4273013941.

The spelling of 9833730048 in words is "nine billion, eight hundred thirty-three million, seven hundred thirty thousand, forty-eight".