12729467520 has 768 divisors, whose sum is σ = 56886036480. Its totient is φ = 2642595840.

The previous prime is 12729467503. The next prime is 12729467521. The reversal of 12729467520 is 2576492721.

12729467520 is a `hidden beast` number, since 12 + 72 + 9 + 46 + 7 + 520 = 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 (12729467521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11974509 + ... + 11975571.

It is an arithmetic number, because the mean of its divisors is an integer number (74070360).

Almost surely, 2^12729467520 is an apocalyptic number.

12729467520 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 12729467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28443018240).

12729467520 is an abundant number, since it is smaller than the sum of its proper divisors (44156568960).

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

12729467520 is a wasteful number, since it uses less digits than its factorization.

12729467520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

It can be divided in two parts, 12729 and 467520, that added together give a square (480249 = 693²).

The spelling of 12729467520 in words is "twelve billion, seven hundred twenty-nine million, four hundred sixty-seven thousand, five hundred twenty".