13284679840 has 24 divisors (see below), whose sum is σ = 31385056500. Its totient is φ = 5313871872.

The previous prime is 13284679823. The next prime is 13284679847. The reversal of 13284679840 is 4897648231.

It can be written as a sum of positive squares in 2 ways, for example, as 12697683856 + 586995984 = 112684^2 + 24228^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13284679847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41514465 + ... + 41514784.

Almost surely, 2^13284679840 is an apocalyptic number.

13284679840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13284679840 is an abundant number, since it is smaller than the sum of its proper divisors (18100376660).

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

13284679840 is an equidigital number, since it uses as much as digits as its factorization.

13284679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83029264 (or 83029256 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 13284679840 in words is "thirteen billion, two hundred eighty-four million, six hundred seventy-nine thousand, eight hundred forty".