9833648672 has 48 divisors (see below), whose sum is σ = 19833660000. Its totient is φ = 4796800512.

The previous prime is 9833648653. The next prime is 9833648677. The reversal of 9833648672 is 2768463389.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9833648677) 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, 1307579 + ... + 1315077.

It is an arithmetic number, because the mean of its divisors is an integer number (413201250).

Almost surely, 2^9833648672 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 9833648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916830000).

9833648672 is an abundant number, since it is smaller than the sum of its proper divisors (10000011328).

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

9833648672 is a wasteful number, since it uses less digits than its factorization.

9833648672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8497 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 56.

The square root of 9833648672 is about 99164.7551905414. The cubic root of 9833648672 is about 2142.4213917124.

The spelling of 9833648672 in words is "nine billion, eight hundred thirty-three million, six hundred forty-eight thousand, six hundred seventy-two".