12627379584 has 96 divisors (see below), whose sum is σ = 36879162840. Its totient is φ = 4146278400.

The previous prime is 12627379577. The next prime is 12627379591. The reversal of 12627379584 is 48597372621.

It is a happy number.

12627379584 is a `hidden beast` number, since 1 + 2 + 6 + 27 + 37 + 9 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (12627379577) and next prime (12627379591).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 12627379584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4617 + ... + 158984.

Almost surely, 2^12627379584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12627379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18439581420).

12627379584 is an abundant number, since it is smaller than the sum of its proper divisors (24251783256).

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

12627379584 is a wasteful number, since it uses less digits than its factorization.

12627379584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163688 (or 163673 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 12627379584 in words is "twelve billion, six hundred twenty-seven million, three hundred seventy-nine thousand, five hundred eighty-four".