13707726400 has 63 divisors (see below), whose sum is σ = 33741101809. Its totient is φ = 5481217280.

The previous prime is 13707726379. The next prime is 13707726401. The reversal of 13707726400 is 462770731.

The square root of 13707726400 is 117080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4934781504 + 8772944896 = 70248^2 + 93664^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13707726400.

It is not an unprimeable number, because it can be changed into a prime (13707726401) 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 8 ways as a sum of consecutive naturals, for example, 4681737 + ... + 4684663.

Almost surely, 2^13707726400 is an apocalyptic number.

13707726400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13707726400 is the 117080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13707726400

13707726400 is an abundant number, since it is smaller than the sum of its proper divisors (20033375409).

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

13707726400 is an frugal number, since it uses more digits than its factorization.

13707726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The spelling of 13707726400 in words is "thirteen billion, seven hundred seven million, seven hundred twenty-six thousand, four hundred".