13376240640 has 704 divisors, whose sum is σ = 56784107520. Its totient is φ = 2919628800.

The previous prime is 13376240639. The next prime is 13376240651. The reversal of 13376240640 is 4604267331.

It is a happy number.

13376240640 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 6 + 2 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13376240595 and 13376240604.

It is a congruent number.

It is an unprimeable number.

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, 22256340 + ... + 22256940.

Almost surely, 2^13376240640 is an apocalyptic number.

13376240640 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 13376240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28392053760).

13376240640 is an abundant number, since it is smaller than the sum of its proper divisors (43407866880).

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

13376240640 is a wasteful number, since it uses less digits than its factorization.

13376240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

It can be divided in two parts, 13376 and 240640, that added together give a square (254016 = 504²).

The spelling of 13376240640 in words is "thirteen billion, three hundred seventy-six million, two hundred forty thousand, six hundred forty".