12730613406 has 64 divisors (see below), whose sum is σ = 29987435520. Its totient is φ = 3527274240.

The previous prime is 12730613383. The next prime is 12730613407. The reversal of 12730613406 is 60431603721.

It is a super-3 number, since 3×12730613406³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12730613407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 265440 + ... + 309708.

It is an arithmetic number, because the mean of its divisors is an integer number (468553680).

Almost surely, 2^12730613406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12730613406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993717760).

12730613406 is an abundant number, since it is smaller than the sum of its proper divisors (17256822114).

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

12730613406 is a wasteful number, since it uses less digits than its factorization.

12730613406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44489.

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 12730613406 in words is "twelve billion, seven hundred thirty million, six hundred thirteen thousand, four hundred six".