13276779264 has 432 divisors, whose sum is σ = 47336423680. Its totient is φ = 3493601280.

The previous prime is 13276779253. The next prime is 13276779311. The reversal of 13276779264 is 46297767231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13276779264.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11337399 + ... + 11338569.

Almost surely, 2^13276779264 is an apocalyptic number.

13276779264 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 13276779264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23668211840).

13276779264 is an abundant number, since it is smaller than the sum of its proper divisors (34059644416).

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

13276779264 is a wasteful number, since it uses less digits than its factorization.

13276779264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1239 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 13276779264 in words is "thirteen billion, two hundred seventy-six million, seven hundred seventy-nine thousand, two hundred sixty-four".