12677936040 has 768 divisors, whose sum is σ = 54086123520. Its totient is φ = 2499102720.

The previous prime is 12677936027. The next prime is 12677936041. The reversal of 12677936040 is 4063977621.

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

It is not an unprimeable number, because it can be changed into a prime (12677936041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48204949 + ... + 48205211.

It is an arithmetic number, because the mean of its divisors is an integer number (70424640).

Almost surely, 2^12677936040 is an apocalyptic number.

12677936040 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 12677936040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27043061760).

12677936040 is an abundant number, since it is smaller than the sum of its proper divisors (41408187480).

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

12677936040 is a wasteful number, since it uses less digits than its factorization.

12677936040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12677936040 in words is "twelve billion, six hundred seventy-seven million, nine hundred thirty-six thousand, forty".