12776636736 has 168 divisors, whose sum is σ = 38062655904. Its totient is φ = 4249428480.

The previous prime is 12776636713. The next prime is 12776636809. The reversal of 12776636736 is 63763667721.

12776636736 is a `hidden beast` number, since 1 + 277 + 6 + 6 + 367 + 3 + 6 = 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 23 ways as a sum of consecutive naturals, for example, 12612166 + ... + 12613178.

It is an arithmetic number, because the mean of its divisors is an integer number (226563428).

Almost surely, 2^12776636736 is an apocalyptic number.

12776636736 is a gapful number since it is divisible by the number (16) 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 12776636736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19031327952).

12776636736 is an abundant number, since it is smaller than the sum of its proper divisors (25286019168).

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

12776636736 is an equidigital number, since it uses as much as digits as its factorization.

12776636736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1829 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The spelling of 12776636736 in words is "twelve billion, seven hundred seventy-six million, six hundred thirty-six thousand, seven hundred thirty-six".