12729764736 has 512 divisors, whose sum is σ = 42990796800. Its totient is φ = 3678732288.

The previous prime is 12729764717. The next prime is 12729764741. The reversal of 12729764736 is 63746792721.

12729764736 is a `hidden beast` number, since 12 + 72 + 97 + 6 + 473 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100234305 + ... + 100234431.

It is an arithmetic number, because the mean of its divisors is an integer number (83966400).

Almost surely, 2^12729764736 is an apocalyptic number.

12729764736 is a gapful number since it is divisible by the number (16) 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 12729764736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21495398400).

12729764736 is an abundant number, since it is smaller than the sum of its proper divisors (30261032064).

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

12729764736 is a wasteful number, since it uses less digits than its factorization.

12729764736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 12729764736 in words is "twelve billion, seven hundred twenty-nine million, seven hundred sixty-four thousand, seven hundred thirty-six".