12667387680 has 288 divisors, whose sum is σ = 43955690688. Its totient is φ = 3321600000.

The previous prime is 12667387661. The next prime is 12667387697. The reversal of 12667387680 is 8678376621.

12667387680 is a `hidden beast` number, since 126 + 67 + 387 + 6 + 80 = 666.

12667387680 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 (288).

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 47 ways as a sum of consecutive naturals, for example, 36505267 + ... + 36505613.

It is an arithmetic number, because the mean of its divisors is an integer number (152623926).

Almost surely, 2^12667387680 is an apocalyptic number.

12667387680 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 12667387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21977845344).

12667387680 is an abundant number, since it is smaller than the sum of its proper divisors (31288303008).

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

12667387680 is a wasteful number, since it uses less digits than its factorization.

12667387680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12667387680 in words is "twelve billion, six hundred sixty-seven million, three hundred eighty-seven thousand, six hundred eighty".