13683271680 has 768 divisors, whose sum is σ = 54156211200. Its totient is φ = 3296526336.

The previous prime is 13683271663. The next prime is 13683271739. The reversal of 13683271680 is 8617238631.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 291133417 + ... + 291133463.

It is an arithmetic number, because the mean of its divisors is an integer number (70515900).

Almost surely, 2^13683271680 is an apocalyptic number.

13683271680 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 13683271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27078105600).

13683271680 is an abundant number, since it is smaller than the sum of its proper divisors (40472939520).

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

13683271680 is an frugal number, since it uses more digits than its factorization.

13683271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13683271680 in words is "thirteen billion, six hundred eighty-three million, two hundred seventy-one thousand, six hundred eighty".