12767644036 has 45 divisors (see below), whose sum is σ = 26088348741. Its totient is φ = 5467101696.

The previous prime is 12767644031. The next prime is 12767644037. The reversal of 12767644036 is 63044676721.

The square root of 12767644036 is 112994.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10090202500 + 2677441536 = 100450^2 + 51744^2 .

It is not an unprimeable number, because it can be changed into a prime (12767644031) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11072836 + ... + 11073988.

Almost surely, 2^12767644036 is an apocalyptic number.

12767644036 is the 112994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12767644036

12767644036 is an abundant number, since it is smaller than the sum of its proper divisors (13320704705).

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

12767644036 is an frugal number, since it uses more digits than its factorization.

12767644036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

It can be divided in two parts, 1276764 and 4036, that added together give a triangular number (1280800 = T₁₆₀₀).

The spelling of 12767644036 in words is "twelve billion, seven hundred sixty-seven million, six hundred forty-four thousand, thirty-six".