6627079048128 has 1792 divisors, whose sum is σ = 24840374845440. Its totient is φ = 1507623321600.

The previous prime is 6627079048081. The next prime is 6627079048129. The reversal of 6627079048128 is 8218409707266.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6627079048129) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21586576551 + ... + 21586576857.

It is an arithmetic number, because the mean of its divisors is an integer number (13861816320).

Almost surely, 2^{6627079048128} 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 6627079048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420187422720).

6627079048128 is an abundant number, since it is smaller than the sum of its proper divisors (18213295797312).

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

6627079048128 is a wasteful number, since it uses less digits than its factorization.

6627079048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 6627079048128 in words is "six trillion, six hundred twenty-seven billion, seventy-nine million, forty-eight thousand, one hundred twenty-eight".