12677608944 has 640 divisors, whose sum is σ = 51463372800. Its totient is φ = 2877742080.

The previous prime is 12677608939. The next prime is 12677608961. The reversal of 12677608944 is 44980677621.

12677608944 is a `hidden beast` number, since 1 + 26 + 7 + 7 + 608 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8215437 + ... + 8216979.

It is an arithmetic number, because the mean of its divisors is an integer number (80411520).

Almost surely, 2^12677608944 is an apocalyptic number.

12677608944 is a gapful number since it is divisible by the number (14) 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 12677608944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25731686400).

12677608944 is an abundant number, since it is smaller than the sum of its proper divisors (38785763856).

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

12677608944 is a wasteful number, since it uses less digits than its factorization.

12677608944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12677608944 in words is "twelve billion, six hundred seventy-seven million, six hundred eight thousand, nine hundred forty-four".