9829875264 has 224 divisors, whose sum is σ = 30899404800. Its totient is φ = 2724341760.

The previous prime is 9829875191. The next prime is 9829875277. The reversal of 9829875264 is 4625789289.

It is a junction number, because it is equal to n+sod(n) for n = 9829875198 and 9829875207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1159489 + ... + 1167935.

Almost surely, 2^9829875264 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 9829875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449702400).

9829875264 is an abundant number, since it is smaller than the sum of its proper divisors (21069529536).

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

9829875264 is a wasteful number, since it uses less digits than its factorization.

9829875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8521 (or 8511 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The square root of 9829875264 is about 99145.7274117246. The cubic root of 9829875264 is about 2142.1473237461.

The spelling of 9829875264 in words is "nine billion, eight hundred twenty-nine million, eight hundred seventy-five thousand, two hundred sixty-four".