13720974336 has 264 divisors, whose sum is σ = 42100730880. Its totient is φ = 4291854336.

The previous prime is 13720974307. The next prime is 13720974353. The reversal of 13720974336 is 63347902731.

It is a happy number.

13720974336 is a `hidden beast` number, since 1 + 3 + 7 + 209 + 7 + 433 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13720974291 and 13720974300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22237900 + ... + 22238516.

Almost surely, 2^13720974336 is an apocalyptic number.

13720974336 is a gapful number since it is divisible by the number (16) 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 13720974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21050365440).

13720974336 is an abundant number, since it is smaller than the sum of its proper divisors (28379756544).

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

13720974336 is a wasteful number, since it uses less digits than its factorization.

13720974336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 13720974336 in words is "thirteen billion, seven hundred twenty million, nine hundred seventy-four thousand, three hundred thirty-six".