13605744960 has 336 divisors, whose sum is σ = 51091185600. Its totient is φ = 3436867584.

The previous prime is 13605744947. The next prime is 13605744961. The reversal of 13605744960 is 6944750631.

13605744960 is a `hidden beast` number, since 1 + 36 + 0 + 574 + 49 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13605744961) 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, 1472836 + ... + 1482044.

It is an arithmetic number, because the mean of its divisors is an integer number (152057100).

Almost surely, 2^13605744960 is an apocalyptic number.

13605744960 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 13605744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25545592800).

13605744960 is an abundant number, since it is smaller than the sum of its proper divisors (37485440640).

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

13605744960 is an equidigital number, since it uses as much as digits as its factorization.

13605744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13605744960 in words is "thirteen billion, six hundred five million, seven hundred forty-four thousand, nine hundred sixty".