12380772768 has 288 divisors, whose sum is σ = 41393600640. Its totient is φ = 3210762240.

The previous prime is 12380772757. The next prime is 12380772769. The reversal of 12380772768 is 86727708321.

It is a happy number.

12380772768 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 12380772768.

It is not an unprimeable number, because it can be changed into a prime (12380772769) 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 47 ways as a sum of consecutive naturals, for example, 3728613 + ... + 3731931.

It is an arithmetic number, because the mean of its divisors is an integer number (143727780).

Almost surely, 2^12380772768 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 12380772768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20696800320).

12380772768 is an abundant number, since it is smaller than the sum of its proper divisors (29012827872).

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

12380772768 is a wasteful number, since it uses less digits than its factorization.

12380772768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 12380772768 in words is "twelve billion, three hundred eighty million, seven hundred seventy-two thousand, seven hundred sixty-eight".