12677167680 has 224 divisors, whose sum is σ = 40939516800. Its totient is φ = 3323117568.

The previous prime is 12677167673. The next prime is 12677167729. The reversal of 12677167680 is 8676177621.

12677167680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 30995316 + ... + 30995724.

It is an arithmetic number, because the mean of its divisors is an integer number (182765700).

Almost surely, 2^12677167680 is an apocalyptic number.

12677167680 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 12677167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20469758400).

12677167680 is an abundant number, since it is smaller than the sum of its proper divisors (28262349120).

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

12677167680 is a wasteful number, since it uses less digits than its factorization.

12677167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 12677167680 in words is "twelve billion, six hundred seventy-seven million, one hundred sixty-seven thousand, six hundred eighty".