12464824320 has 840 divisors, whose sum is σ = 51120661284. Its totient is φ = 2887778304.

The previous prime is 12464824319. The next prime is 12464824327. The reversal of 12464824320 is 2342846421.

12464824320 is a `hidden beast` number, since 1 + 2 + 4 + 648 + 2 + 4 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6596038656 + 5868785664 = 81216^2 + 76608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12464824327) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 733224952 + ... + 733224968.

Almost surely, 2^12464824320 is an apocalyptic number.

12464824320 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 12464824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25560330642).

12464824320 is an abundant number, since it is smaller than the sum of its proper divisors (38655836964).

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

12464824320 is an equidigital number, since it uses as much as digits as its factorization.

12464824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 12464824320 in words is "twelve billion, four hundred sixty-four million, eight hundred twenty-four thousand, three hundred twenty".