12767436928480 has 96 divisors (see below), whose sum is σ = 32485447026144. Its totient is φ = 4713819826176.

The previous prime is 12767436928429. The next prime is 12767436928487. The reversal of 12767436928480 is 8482963476721.

It is a super-2 number, since 2×12767436928480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12767436928487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32642554 + ... + 33031366.

It is an arithmetic number, because the mean of its divisors is an integer number (338390073189).

Almost surely, 2^{12767436928480} is an apocalyptic number.

12767436928480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12767436928480 is an abundant number, since it is smaller than the sum of its proper divisors (19718010097664).

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

12767436928480 is a wasteful number, since it uses less digits than its factorization.

12767436928480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404628 (or 404620 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 67.

The spelling of 12767436928480 in words is "twelve trillion, seven hundred sixty-seven billion, four hundred thirty-six million, nine hundred twenty-eight thousand, four hundred eighty".