12476629368 has 128 divisors (see below), whose sum is σ = 39810355200. Its totient is φ = 3546571392.

The previous prime is 12476629349. The next prime is 12476629369. The reversal of 12476629368 is 86392667421.

12476629368 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 6 + 629 + 3 + 6 + 8 = 666.

12476629368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12476629369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276921 + ... + 318807.

It is an arithmetic number, because the mean of its divisors is an integer number (311018400).

Almost surely, 2^12476629368 is an apocalyptic number.

12476629368 is a gapful number since it is divisible by the number (18) 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 12476629368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19905177600).

12476629368 is an abundant number, since it is smaller than the sum of its proper divisors (27333725832).

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

12476629368 is a wasteful number, since it uses less digits than its factorization.

12476629368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42106 (or 42096 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 12476629368 in words is "twelve billion, four hundred seventy-six million, six hundred twenty-nine thousand, three hundred sixty-eight".