9509819904 has 400 divisors, whose sum is σ = 31609226880. Its totient is φ = 2826731520.

The previous prime is 9509819897. The next prime is 9509819923. The reversal of 9509819904 is 4099189059.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 16712932 + ... + 16713500.

Almost surely, 2^9509819904 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 9509819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804613440).

9509819904 is an abundant number, since it is smaller than the sum of its proper divisors (22099406976).

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

9509819904 is a wasteful number, since it uses less digits than its factorization.

9509819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 9509819904 is about 97518.3054815864. The cubic root of 9509819904 is about 2118.6412843583.

The spelling of 9509819904 in words is "nine billion, five hundred nine million, eight hundred nineteen thousand, nine hundred four".