12337874640 has 1000 divisors, whose sum is σ = 54718117608. Its totient is φ = 2560481280.

The previous prime is 12337874639. The next prime is 12337874641. The reversal of 12337874640 is 4647873321.

12337874640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12337874639) and next prime (12337874641).

It can be written as a sum of positive squares in 4 ways, for example, as 376515216 + 11961359424 = 19404^2 + 109368^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12337874641) 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 199 ways as a sum of consecutive naturals, for example, 202260210 + ... + 202260270.

Almost surely, 2^12337874640 is an apocalyptic number.

12337874640 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 12337874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27359058804).

12337874640 is an abundant number, since it is smaller than the sum of its proper divisors (42380242968).

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

12337874640 is an equidigital number, since it uses as much as digits as its factorization.

12337874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 12337874640 in words is "twelve billion, three hundred thirty-seven million, eight hundred seventy-four thousand, six hundred forty".