13684667472 has 360 divisors, whose sum is σ = 46695448800. Its totient is φ = 3868155648.

The previous prime is 13684667461. The next prime is 13684667543. The reversal of 13684667472 is 27476648631.

13684667472 is a `hidden beast` number, since 1 + 36 + 84 + 6 + 67 + 472 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 20765479 + ... + 20766137.

It is an arithmetic number, because the mean of its divisors is an integer number (129709580).

Almost surely, 2^13684667472 is an apocalyptic number.

13684667472 is a gapful number since it is divisible by the number (12) 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 13684667472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23347724400).

13684667472 is an abundant number, since it is smaller than the sum of its proper divisors (33010781328).

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

13684667472 is a wasteful number, since it uses less digits than its factorization.

13684667472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 780 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 13684667472 in words is "thirteen billion, six hundred eighty-four million, six hundred sixty-seven thousand, four hundred seventy-two".