9004824672480 has 1152 divisors, whose sum is σ = 38185253922816. Its totient is φ = 1881667584000.

The previous prime is 9004824672479. The next prime is 9004824672497. The reversal of 9004824672480 is 842764284009.

9004824672480 is a `hidden beast` number, since 9 + 0 + 0 + 4 + 82 + 467 + 24 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11298399442 + ... + 11298400238.

It is an arithmetic number, because the mean of its divisors is an integer number (33146921808).

Almost surely, 2^{9004824672480} is an apocalyptic number.

9004824672480 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 9004824672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19092626961408).

9004824672480 is an abundant number, since it is smaller than the sum of its proper divisors (29180429250336).

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

9004824672480 is a wasteful number, since it uses less digits than its factorization.

9004824672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 9004824672480 in words is "nine trillion, four billion, eight hundred twenty-four million, six hundred seventy-two thousand, four hundred eighty".