13662684672 has 480 divisors, whose sum is σ = 46104334848. Its totient is φ = 3519479808.

The previous prime is 13662684671. The next prime is 13662684677. The reversal of 13662684672 is 27648626631.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13662684671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132647373 + ... + 132647475.

Almost surely, 2^13662684672 is an apocalyptic number.

13662684672 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 13662684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23052167424).

13662684672 is an abundant number, since it is smaller than the sum of its proper divisors (32441650176).

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

13662684672 is a wasteful number, since it uses less digits than its factorization.

13662684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 201 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 13662684672 in words is "thirteen billion, six hundred sixty-two million, six hundred eighty-four thousand, six hundred seventy-two".