2627713272912 has 960 divisors, whose sum is σ = 8930378419200. Its totient is φ = 663309803520.

The previous prime is 2627713272869. The next prime is 2627713272917. The reversal of 2627713272912 is 2192723177262.

2627713272912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2627713272917) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16737027138 + ... + 16737027294.

It is an arithmetic number, because the mean of its divisors is an integer number (9302477520).

Almost surely, 2^{2627713272912} 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 2627713272912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465189209600).

2627713272912 is an abundant number, since it is smaller than the sum of its proper divisors (6302665146288).

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

2627713272912 is a wasteful number, since it uses less digits than its factorization.

2627713272912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 302 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The spelling of 2627713272912 in words is "two trillion, six hundred twenty-seven billion, seven hundred thirteen million, two hundred seventy-two thousand, nine hundred twelve".