13321526764 has 192 divisors, whose sum is σ = 30326123520. Its totient is φ = 4981616640.

The previous prime is 13321526747. The next prime is 13321526783. The reversal of 13321526764 is 46762512331.

It is a happy number.

13321526764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (181440) is a multiple of the sum of its prime factors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101690979 + ... + 101691109.

It is an arithmetic number, because the mean of its divisors is an integer number (157948560).

Almost surely, 2^13321526764 is an apocalyptic number.

13321526764 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 13321526764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163061760).

13321526764 is an abundant number, since it is smaller than the sum of its proper divisors (17004596756).

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

13321526764 is a wasteful number, since it uses less digits than its factorization.

13321526764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 358 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The spelling of 13321526764 in words is "thirteen billion, three hundred twenty-one million, five hundred twenty-six thousand, seven hundred sixty-four".