12758436678624 has 768 divisors, whose sum is σ = 44887449600000. Its totient is φ = 3078131466240.

The previous prime is 12758436678619. The next prime is 12758436678629. The reversal of 12758436678624 is 42687663485721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12758436678619) and next prime (12758436678629).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12758436678629) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2567604012 + ... + 2567608980.

It is an arithmetic number, because the mean of its divisors is an integer number (58447200000).

Almost surely, 2^{12758436678624} is an apocalyptic number.

12758436678624 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 12758436678624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22443724800000).

12758436678624 is an abundant number, since it is smaller than the sum of its proper divisors (32129012921376).

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

12758436678624 is a wasteful number, since it uses less digits than its factorization.

12758436678624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5543 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 69.

The spelling of 12758436678624 in words is "twelve trillion, seven hundred fifty-eight billion, four hundred thirty-six million, six hundred seventy-eight thousand, six hundred twenty-four".