12731804064 has 432 divisors, whose sum is σ = 43480172736. Its totient is φ = 3522355200.

The previous prime is 12731804053. The next prime is 12731804089. The reversal of 12731804064 is 46040813721.

12731804064 is a `hidden beast` number, since 1 + 2 + 73 + 180 + 406 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97189279 + ... + 97189409.

It is an arithmetic number, because the mean of its divisors is an integer number (100648548).

Almost surely, 2^12731804064 is an apocalyptic number.

12731804064 is a gapful number since it is divisible by the number (14) 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 12731804064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740086368).

12731804064 is an abundant number, since it is smaller than the sum of its proper divisors (30748368672).

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

12731804064 is a wasteful number, since it uses less digits than its factorization.

12731804064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12731804064 in words is "twelve billion, seven hundred thirty-one million, eight hundred four thousand, sixty-four".