12677640340 has 192 divisors, whose sum is σ = 29262643200. Its totient is φ = 4603622400.

The previous prime is 12677640317. The next prime is 12677640359. The reversal of 12677640340 is 4304677621.

12677640340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12677640293 and 12677640302.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 118482567 + ... + 118482673.

It is an arithmetic number, because the mean of its divisors is an integer number (152409600).

Almost surely, 2^12677640340 is an apocalyptic number.

12677640340 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 12677640340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14631321600).

12677640340 is an abundant number, since it is smaller than the sum of its proper divisors (16585002860).

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

12677640340 is a wasteful number, since it uses less digits than its factorization.

12677640340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 12677640340 in words is "twelve billion, six hundred seventy-seven million, six hundred forty thousand, three hundred forty".