2713676149728 has 180 divisors, whose sum is σ = 8423001223560. Its totient is φ = 856950067584.

The previous prime is 2713676149661. The next prime is 2713676149733. The reversal of 2713676149728 is 8279416763172.

2713676149728 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 6 + 7 + 614 + 9 + 7 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 514348 + ... + 2385771.

It is an arithmetic number, because the mean of its divisors is an integer number (46794451242).

Almost surely, 2^{2713676149728} 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 2713676149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211500611780).

2713676149728 is an abundant number, since it is smaller than the sum of its proper divisors (5709325073832).

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

2713676149728 is a wasteful number, since it uses less digits than its factorization.

2713676149728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900179 (or 2900143 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 2713676149728 in words is "two trillion, seven hundred thirteen billion, six hundred seventy-six million, one hundred forty-nine thousand, seven hundred twenty-eight".