9806807040 has 320 divisors, whose sum is σ = 33218856000. Its totient is φ = 2466250752.

The previous prime is 9806807033. The next prime is 9806807111. The reversal of 9806807040 is 407086089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 9806806983 and 9806807001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228065259 + ... + 228065301.

It is an arithmetic number, because the mean of its divisors is an integer number (103808925).

Almost surely, 2^9806807040 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 9806807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609428000).

9806807040 is an abundant number, since it is smaller than the sum of its proper divisors (23412048960).

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

9806807040 is an frugal number, since it uses more digits than its factorization.

9806807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 9806807040 is about 99029.3241418924. The cubic root of 9806807040 is about 2140.4703190811.

The spelling of 9806807040 in words is "nine billion, eight hundred six million, eight hundred seven thousand, forty".