9833840640 has 768 divisors, whose sum is σ = 40075963200. Its totient is φ = 2293235712.

The previous prime is 9833840633. The next prime is 9833840663. The reversal of 9833840640 is 460483389.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517570551 + ... + 517570569.

Almost surely, 2^9833840640 is an apocalyptic number.

9833840640 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 9833840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037981600).

9833840640 is an abundant number, since it is smaller than the sum of its proper divisors (30242122560).

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

9833840640 is an equidigital number, since it uses as much as digits as its factorization.

9833840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 9833840640 is about 99165.7231103570. The cubic root of 9833840640 is about 2142.4353327458.

The spelling of 9833840640 in words is "nine billion, eight hundred thirty-three million, eight hundred forty thousand, six hundred forty".