12723384960 has 1024 divisors, whose sum is σ = 55931904000. Its totient is φ = 2687385600.

The previous prime is 12723384929. The next prime is 12723384967. The reversal of 12723384960 is 6948332721.

12723384960 is a `hidden beast` number, since 1 + 272 + 338 + 49 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12723384967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46949625 + ... + 46949895.

It is an arithmetic number, because the mean of its divisors is an integer number (54621000).

Almost surely, 2^12723384960 is an apocalyptic number.

12723384960 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 12723384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27965952000).

12723384960 is an abundant number, since it is smaller than the sum of its proper divisors (43208519040).

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

12723384960 is a wasteful number, since it uses less digits than its factorization.

12723384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12723384960 in words is "twelve billion, seven hundred twenty-three million, three hundred eighty-four thousand, nine hundred sixty".