9830133632 has 64 divisors (see below), whose sum is σ = 21428213040. Its totient is φ = 4454768640.

The previous prime is 9830133631. The next prime is 9830133647. The reversal of 9830133632 is 2363310389.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×9830133632² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9830133631) 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, 464138 + ... + 484854.

Almost surely, 2^9830133632 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 9830133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714106520).

9830133632 is an abundant number, since it is smaller than the sum of its proper divisors (11598079408).

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

9830133632 is a wasteful number, since it uses less digits than its factorization.

9830133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21079 (or 21067 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 9830133632 is about 99147.0303740863. The cubic root of 9830133632 is about 2142.1660916164.

The spelling of 9830133632 in words is "nine billion, eight hundred thirty million, one hundred thirty-three thousand, six hundred thirty-two".