9829995840 has 896 divisors, whose sum is σ = 42135552000. Its totient is φ = 2154055680.

The previous prime is 9829995803. The next prime is 9829995863. The reversal of 9829995840 is 485999289.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91869067 + ... + 91869173.

Almost surely, 2^9829995840 is an apocalyptic number.

9829995840 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 9829995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067776000).

9829995840 is an abundant number, since it is smaller than the sum of its proper divisors (32305556160).

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

9829995840 is a wasteful number, since it uses less digits than its factorization.

9829995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The square root of 9829995840 is about 99146.3354844747. The cubic root of 9829995840 is about 2142.1560824364.

The spelling of 9829995840 in words is "nine billion, eight hundred twenty-nine million, nine hundred ninety-five thousand, eight hundred forty".