13645657760 has 96 divisors (see below), whose sum is σ = 36873688320. Its totient is φ = 4674650112.

The previous prime is 13645657681. The next prime is 13645657771. The reversal of 13645657760 is 6775654631.

It is a junction number, because it is equal to n+sod(n) for n = 13645657699 and 13645657708.

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, 1573757 + ... + 1582403.

It is an arithmetic number, because the mean of its divisors is an integer number (384100920).

Almost surely, 2^13645657760 is an apocalyptic number.

13645657760 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 13645657760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436844160).

13645657760 is an abundant number, since it is smaller than the sum of its proper divisors (23228030560).

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

13645657760 is a wasteful number, since it uses less digits than its factorization.

13645657760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078 (or 10070 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 50.

The spelling of 13645657760 in words is "thirteen billion, six hundred forty-five million, six hundred fifty-seven thousand, seven hundred sixty".