12642473267424 has 864 divisors, whose sum is σ = 50206277302272. Its totient is φ = 2933360179200.

The previous prime is 12642473267399. The next prime is 12642473267449. The reversal of 12642473267424 is 42476237424621.

12642473267424 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 247 + 326 + 74 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12642473267399) and next prime (12642473267449).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98241907 + ... + 98370509.

It is an arithmetic number, because the mean of its divisors is an integer number (58109117248).

Almost surely, 2^{12642473267424} is an apocalyptic number.

12642473267424 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 12642473267424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25103138651136).

12642473267424 is an abundant number, since it is smaller than the sum of its proper divisors (37563804034848).

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

12642473267424 is a wasteful number, since it uses less digits than its factorization.

12642473267424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128692 (or 128670 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 54.

The spelling of 12642473267424 in words is "twelve trillion, six hundred forty-two billion, four hundred seventy-three million, two hundred sixty-seven thousand, four hundred twenty-four".