12820737408 has 128 divisors (see below), whose sum is σ = 36224133120. Its totient is φ = 4003700736.

The previous prime is 12820737379. The next prime is 12820737427. The reversal of 12820737408 is 80473702821.

12820737408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12820737408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1451341 + ... + 1460147.

It is an arithmetic number, because the mean of its divisors is an integer number (283001040).

Almost surely, 2^12820737408 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 12820737408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18112066560).

12820737408 is an abundant number, since it is smaller than the sum of its proper divisors (23403395712).

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

12820737408 is a wasteful number, since it uses less digits than its factorization.

12820737408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064 (or 9052 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 12820737408 in words is "twelve billion, eight hundred twenty million, seven hundred thirty-seven thousand, four hundred eight".