13980320640 has 576 divisors, whose sum is σ = 57182317920. Its totient is φ = 3126435840.

The previous prime is 13980320623. The next prime is 13980320659. The reversal of 13980320640 is 4602308931.

13980320640 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 0 + 3 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 13980320595 and 13980320604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9059709 + ... + 9061251.

Almost surely, 2^13980320640 is an apocalyptic number.

13980320640 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 13980320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591158960).

13980320640 is an abundant number, since it is smaller than the sum of its proper divisors (43201997280).

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

13980320640 is a wasteful number, since it uses less digits than its factorization.

13980320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13980320640 in words is "thirteen billion, nine hundred eighty million, three hundred twenty thousand, six hundred forty".