13643329760 has 96 divisors (see below), whose sum is σ = 32663282400. Its totient is φ = 5384642560.

The previous prime is 13643329759. The next prime is 13643329771. The reversal of 13643329760 is 6792334631.

It is a super-2 number, since 2×13643329760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10836011 + ... + 10837269.

It is an arithmetic number, because the mean of its divisors is an integer number (340242525).

Almost surely, 2^13643329760 is an apocalyptic number.

13643329760 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 13643329760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331641200).

13643329760 is an abundant number, since it is smaller than the sum of its proper divisors (19019952640).

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

13643329760 is a wasteful number, since it uses less digits than its factorization.

13643329760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 44.

The spelling of 13643329760 in words is "thirteen billion, six hundred forty-three million, three hundred twenty-nine thousand, seven hundred sixty".