13729982740760 has 256 divisors, whose sum is σ = 36377123328000. Its totient is φ = 4598029762560.

The previous prime is 13729982740759. The next prime is 13729982740781. The reversal of 13729982740760 is 6704728992731.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7268385896 + ... + 7268387784.

It is an arithmetic number, because the mean of its divisors is an integer number (142098138000).

Almost surely, 2^{13729982740760} is an apocalyptic number.

13729982740760 is a gapful number since it is divisible by the number (10) 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 13729982740760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18188561664000).

13729982740760 is an abundant number, since it is smaller than the sum of its proper divisors (22647140587240).

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

13729982740760 is a wasteful number, since it uses less digits than its factorization.

13729982740760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 65.

The spelling of 13729982740760 in words is "thirteen trillion, seven hundred twenty-nine billion, nine hundred eighty-two million, seven hundred forty thousand, seven hundred sixty".