12742634073840 has 640 divisors, whose sum is σ = 45183536640000. Its totient is φ = 2942412963840.

The previous prime is 12742634073823. The next prime is 12742634073853. The reversal of 12742634073840 is 4837043624721.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1994461366 + ... + 1994467754.

It is an arithmetic number, because the mean of its divisors is an integer number (70599276000).

Almost surely, 2^{12742634073840} is an apocalyptic number.

12742634073840 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 12742634073840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22591768320000).

12742634073840 is an abundant number, since it is smaller than the sum of its proper divisors (32440902566160).

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

12742634073840 is a wasteful number, since it uses less digits than its factorization.

12742634073840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 12742634073840 in words is "twelve trillion, seven hundred forty-two billion, six hundred thirty-four million, seventy-three thousand, eight hundred forty".