9829068480 has 672 divisors, whose sum is σ = 42603724800. Its totient is φ = 2020515840.

The previous prime is 9829068439. The next prime is 9829068481. The reversal of 9829068480 is 848609289.

9829068480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9829068480² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9829068481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28163346 + ... + 28163694.

It is an arithmetic number, because the mean of its divisors is an integer number (63398400).

Almost surely, 2^9829068480 is an apocalyptic number.

9829068480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9829068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21301862400).

9829068480 is an abundant number, since it is smaller than the sum of its proper divisors (32774656320).

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

9829068480 is a wasteful number, since it uses less digits than its factorization.

9829068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 9829068480 is about 99141.6586506399. The cubic root of 9829068480 is about 2142.0887167810.

The spelling of 9829068480 in words is "nine billion, eight hundred twenty-nine million, sixty-eight thousand, four hundred eighty".