9900829456 has 80 divisors (see below), whose sum is σ = 22515126400. Its totient is φ = 4215818880.

The previous prime is 9900829451. The next prime is 9900829493. The reversal of 9900829456 is 6549280099.

It is not an unprimeable number, because it can be changed into a prime (9900829451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855871 + ... + 867361.

It is an arithmetic number, because the mean of its divisors is an integer number (281439080).

Almost surely, 2^9900829456 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 9900829456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11257563200).

9900829456 is an abundant number, since it is smaller than the sum of its proper divisors (12614296944).

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

9900829456 is a wasteful number, since it uses less digits than its factorization.

9900829456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11677 (or 11657 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The square root of 9900829456 is about 99502.9117965902. The cubic root of 9900829456 is about 2147.2891347556.

The spelling of 9900829456 in words is "nine billion, nine hundred million, eight hundred twenty-nine thousand, four hundred fifty-six".