6727807134048 has 768 divisors, whose sum is σ = 24327815436288. Its totient is φ = 1571291136000.

The previous prime is 6727807134043. The next prime is 6727807134071. The reversal of 6727807134048 is 8404317087276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6727807134043) 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, 4542745468 + ... + 4542746948.

It is an arithmetic number, because the mean of its divisors is an integer number (31676843016).

Almost surely, 2^{6727807134048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6727807134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163907718144).

6727807134048 is an abundant number, since it is smaller than the sum of its proper divisors (17600008302240).

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

6727807134048 is a wasteful number, since it uses less digits than its factorization.

6727807134048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 6727807134048 in words is "six trillion, seven hundred twenty-seven billion, eight hundred seven million, one hundred thirty-four thousand, forty-eight".