12729646800 has 480 divisors, whose sum is σ = 49519330560. Its totient is φ = 3086899200.

The previous prime is 12729646789. The next prime is 12729646817. The reversal of 12729646800 is 864692721.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9967762 + ... + 9969038.

It is an arithmetic number, because the mean of its divisors is an integer number (103165272).

Almost surely, 2^12729646800 is an apocalyptic number.

12729646800 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 12729646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24759665280).

12729646800 is an abundant number, since it is smaller than the sum of its proper divisors (36789683760).

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

12729646800 is a wasteful number, since it uses less digits than its factorization.

12729646800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12729646800 in words is "twelve billion, seven hundred twenty-nine million, six hundred forty-six thousand, eight hundred".