1326732768 has 144 divisors (see below), whose sum is σ = 4035887856. Its totient is φ = 411955200.

The previous prime is 1326732721. The next prime is 1326732769. The reversal of 1326732768 is 8672376231.

1326732768 is a `hidden beast` number, since 1 + 3 + 267 + 327 + 68 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326732769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493155 + ... + 495837.

It is an arithmetic number, because the mean of its divisors is an integer number (28026999).

Almost surely, 2^1326732768 is an apocalyptic number.

1326732768 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 1326732768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017943928).

1326732768 is an abundant number, since it is smaller than the sum of its proper divisors (2709155088).

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

1326732768 is a wasteful number, since it uses less digits than its factorization.

1326732768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2806 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 1326732768 is about 36424.3430688873. The cubic root of 1326732768 is about 1098.8231954717.

The spelling of 1326732768 in words is "one billion, three hundred twenty-six million, seven hundred thirty-two thousand, seven hundred sixty-eight".