13277867736 has 128 divisors (see below), whose sum is σ = 40048128000. Its totient is φ = 3583688832.

The previous prime is 13277867723. The next prime is 13277867797. The reversal of 13277867736 is 63776877231.

It is a super-2 number, since 2×13277867736² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140135 + ... + 1151721.

It is an arithmetic number, because the mean of its divisors is an integer number (312876000).

Almost surely, 2^13277867736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13277867736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20024064000).

13277867736 is an abundant number, since it is smaller than the sum of its proper divisors (26770260264).

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

13277867736 is a wasteful number, since it uses less digits than its factorization.

13277867736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11981 (or 11977 counting only the distinct ones).

The product of its digits is 12446784, while the sum is 57.

The spelling of 13277867736 in words is "thirteen billion, two hundred seventy-seven million, eight hundred sixty-seven thousand, seven hundred thirty-six".