9904804469280 has 576 divisors, whose sum is σ = 39483211622400. Its totient is φ = 2260157147136.

The previous prime is 9904804469279. The next prime is 9904804469303. The reversal of 9904804469280 is 829644084099.

9904804469280 is a `hidden beast` number, since 9 + 90 + 4 + 8 + 0 + 4 + 469 + 2 + 80 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 299792922 + ... + 299825958.

It is an arithmetic number, because the mean of its divisors is an integer number (68547242400).

Almost surely, 2^{9904804469280} is an apocalyptic number.

9904804469280 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 9904804469280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19741605811200).

9904804469280 is an abundant number, since it is smaller than the sum of its proper divisors (29578407153120).

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

9904804469280 is a wasteful number, since it uses less digits than its factorization.

9904804469280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33686 (or 33661 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 9904804469280 in words is "nine trillion, nine hundred four billion, eight hundred four million, four hundred sixty-nine thousand, two hundred eighty".