12734167680 has 256 divisors, whose sum is σ = 48570278400. Its totient is φ = 3134509056.

The previous prime is 12734167613. The next prime is 12734167703. The reversal of 12734167680 is 8676143721.

12734167680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 196297 + ... + 252983.

It is an arithmetic number, because the mean of its divisors is an integer number (189727650).

Almost surely, 2^12734167680 is an apocalyptic number.

12734167680 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 12734167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24285139200).

12734167680 is an abundant number, since it is smaller than the sum of its proper divisors (35836110720).

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

12734167680 is a wasteful number, since it uses less digits than its factorization.

12734167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56728 (or 56710 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12734167680 in words is "twelve billion, seven hundred thirty-four million, one hundred sixty-seven thousand, six hundred eighty".