12742337760 has 192 divisors, whose sum is σ = 42923006784. Its totient is φ = 3166208000.

The previous prime is 12742337711. The next prime is 12742337761. The reversal of 12742337760 is 6773324721.

It is a happy number.

It is a super-4 number, since 4×12742337760⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12742337761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816430 + ... + 831890.

It is an arithmetic number, because the mean of its divisors is an integer number (223557327).

Almost surely, 2^12742337760 is an apocalyptic number.

12742337760 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 12742337760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21461503392).

12742337760 is an abundant number, since it is smaller than the sum of its proper divisors (30180669024).

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

12742337760 is a wasteful number, since it uses less digits than its factorization.

12742337760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15597 (or 15589 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 12742337760 in words is "twelve billion, seven hundred forty-two million, three hundred thirty-seven thousand, seven hundred sixty".