13719737664 has 448 divisors, whose sum is σ = 45997977600. Its totient is φ = 3983302656.

The previous prime is 13719737663. The next prime is 13719737701. The reversal of 13719737664 is 46673791731.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13719737664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13719737663) 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 63 ways as a sum of consecutive naturals, for example, 26232507 + ... + 26233029.

Almost surely, 2^13719737664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13719737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22998988800).

13719737664 is an abundant number, since it is smaller than the sum of its proper divisors (32278239936).

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

13719737664 is a wasteful number, since it uses less digits than its factorization.

13719737664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The spelling of 13719737664 in words is "thirteen billion, seven hundred nineteen million, seven hundred thirty-seven thousand, six hundred sixty-four".