9829260672 has 256 divisors, whose sum is σ = 32671987200. Its totient is φ = 2543616000.

The previous prime is 9829260629. The next prime is 9829260673. The reversal of 9829260672 is 2760629289.

It is a super-2 number, since 2×9829260672² (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 (9829260673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11856354 + ... + 11857182.

It is an arithmetic number, because the mean of its divisors is an integer number (127624950).

Almost surely, 2^9829260672 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 9829260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16335993600).

9829260672 is an abundant number, since it is smaller than the sum of its proper divisors (22842726528).

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

9829260672 is a wasteful number, since it uses less digits than its factorization.

9829260672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 9829260672 is about 99142.6279256305. The cubic root of 9829260672 is about 2142.1026784171.

The spelling of 9829260672 in words is "nine billion, eight hundred twenty-nine million, two hundred sixty thousand, six hundred seventy-two".