12762405032 has 64 divisors (see below), whose sum is σ = 27147960000. Its totient is φ = 5575924224.

The previous prime is 12762405023. The next prime is 12762405037. The reversal of 12762405032 is 23050426721.

12762405032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12762405032.

It is not an unprimeable number, because it can be changed into a prime (12762405037) by changing a digit.

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, 4727219 + ... + 4729917.

It is an arithmetic number, because the mean of its divisors is an integer number (424186875).

Almost surely, 2^12762405032 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 12762405032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573980000).

12762405032 is an abundant number, since it is smaller than the sum of its proper divisors (14385554968).

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

12762405032 is a wasteful number, since it uses less digits than its factorization.

12762405032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 12762405032 in words is "twelve billion, seven hundred sixty-two million, four hundred five thousand, thirty-two".