12630321480960 has 576 divisors, whose sum is σ = 45639151488000. Its totient is φ = 3306686423040.

The previous prime is 12630321480947. The next prime is 12630321480977. The reversal of 12630321480960 is 6908412303621.

12630321480960 is a `hidden beast` number, since 1 + 2 + 63 + 0 + 3 + 21 + 480 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1751531755 + ... + 1751538965.

It is an arithmetic number, because the mean of its divisors is an integer number (79234638000).

Almost surely, 2^{12630321480960} is an apocalyptic number.

12630321480960 is a gapful number since it is divisible by the number (10) 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 12630321480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22819575744000).

12630321480960 is an abundant number, since it is smaller than the sum of its proper divisors (33008830007040).

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

12630321480960 is an equidigital number, since it uses as much as digits as its factorization.

12630321480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12630321480960 in words is "twelve trillion, six hundred thirty billion, three hundred twenty-one million, four hundred eighty thousand, nine hundred sixty".