13684480000 has 120 divisors (see below), whose sum is σ = 34195100940. Its totient is φ = 5473280000.

The previous prime is 13684479989. The next prime is 13684480013. The reversal of 13684480000 is 8448631.

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 9 ways as a sum of consecutive naturals, for example, 1274655 + ... + 1285345.

Almost surely, 2^13684480000 is an apocalyptic number.

13684480000 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 13684480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17097550470).

13684480000 is an abundant number, since it is smaller than the sum of its proper divisors (20510620940).

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

13684480000 is an frugal number, since it uses more digits than its factorization.

13684480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10733 (or 10698 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 13684480000 in words is "thirteen billion, six hundred eighty-four million, four hundred eighty thousand".