13427268768 has 144 divisors (see below), whose sum is σ = 38652213600. Its totient is φ = 4421122560.

The previous prime is 13427268703. The next prime is 13427268773. The reversal of 13427268768 is 86786272431.

It is a tau number, because it is divible by the number of its divisors (144).

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, 19431303 + ... + 19431993.

It is an arithmetic number, because the mean of its divisors is an integer number (268418150).

Almost surely, 2^13427268768 is an apocalyptic number.

13427268768 is a gapful number since it is divisible by the number (18) 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 13427268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19326106800).

13427268768 is an abundant number, since it is smaller than the sum of its proper divisors (25224944832).

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

13427268768 is a wasteful number, since it uses less digits than its factorization.

13427268768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1424 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 13427268768 in words is "thirteen billion, four hundred twenty-seven million, two hundred sixty-eight thousand, seven hundred sixty-eight".