13768826320 has 40 divisors (see below), whose sum is σ = 33895614024. Its totient is φ = 5183557632.

The previous prime is 13768826299. The next prime is 13768826327. The reversal of 13768826320 is 2362886731.

It can be written as a sum of positive squares in 4 ways, for example, as 5964163984 + 7804662336 = 77228^2 + 88344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768826327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5060709 + ... + 5063428.

Almost surely, 2^13768826320 is an apocalyptic number.

13768826320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13768826320 is an abundant number, since it is smaller than the sum of its proper divisors (20126787704).

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

13768826320 is a wasteful number, since it uses less digits than its factorization.

13768826320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10124167 (or 10124161 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 13768826320 in words is "thirteen billion, seven hundred sixty-eight million, eight hundred twenty-six thousand, three hundred twenty".