12437631360 has 768 divisors, whose sum is σ = 55450137600. Its totient is φ = 2492743680.

The previous prime is 12437631359. The next prime is 12437631361. The reversal of 12437631360 is 6313673421.

12437631360 is a `hidden beast` number, since 12 + 4 + 3 + 7 + 631 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12437631359) and next prime (12437631361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12437631361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12861597 + ... + 12862563.

It is an arithmetic number, because the mean of its divisors is an integer number (72200700).

Almost surely, 2^12437631360 is an apocalyptic number.

12437631360 is a gapful number since it is divisible by the number (10) 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 12437631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27725068800).

12437631360 is an abundant number, since it is smaller than the sum of its proper divisors (43012506240).

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

12437631360 is a wasteful number, since it uses less digits than its factorization.

12437631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 12437631360 in words is "twelve billion, four hundred thirty-seven million, six hundred thirty-one thousand, three hundred sixty".