13646666880 has 768 divisors, whose sum is σ = 60834758400. Its totient is φ = 2735308800.

The previous prime is 13646666867. The next prime is 13646666881. The reversal of 13646666880 is 8866664631.

It is not an unprimeable number, because it can be changed into a prime (13646666881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12861550 + ... + 12862610.

It is an arithmetic number, because the mean of its divisors is an integer number (79211925).

Almost surely, 2^13646666880 is an apocalyptic number.

13646666880 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 13646666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30417379200).

13646666880 is an abundant number, since it is smaller than the sum of its proper divisors (47188091520).

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

13646666880 is a wasteful number, since it uses less digits than its factorization.

13646666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 13646666880 in words is "thirteen billion, six hundred forty-six million, six hundred sixty-six thousand, eight hundred eighty".