9782090408832 has 256 divisors, whose sum is σ = 30410264332800. Its totient is φ = 2727726317568.

The previous prime is 9782090408809. The next prime is 9782090408833. The reversal of 9782090408832 is 2388040902879.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9782090408833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148954948 + ... + 149020604.

It is an arithmetic number, because the mean of its divisors is an integer number (118790095050).

Almost surely, 2^{9782090408832} 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 9782090408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205132166400).

9782090408832 is an abundant number, since it is smaller than the sum of its proper divisors (20628173923968).

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

9782090408832 is a wasteful number, since it uses less digits than its factorization.

9782090408832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67013 (or 67001 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 9782090408832 in words is "nine trillion, seven hundred eighty-two billion, ninety million, four hundred eight thousand, eight hundred thirty-two".