2756683675872 has 216 divisors, whose sum is σ = 9185778057456. Its totient is φ = 781874279424.

The previous prime is 2756683675859. The next prime is 2756683675873. The reversal of 2756683675872 is 2785763866572.

2756683675872 is a `hidden beast` number, since 2 + 7 + 5 + 6 + 6 + 8 + 36 + 7 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2756683675872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2756683675873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1220413 + ... + 2646275.

It is an arithmetic number, because the mean of its divisors is an integer number (42526750266).

Almost surely, 2^{2756683675872} 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 2756683675872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592889028728).

2756683675872 is an abundant number, since it is smaller than the sum of its proper divisors (6429094381584).

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

2756683675872 is a wasteful number, since it uses less digits than its factorization.

2756683675872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426030 (or 1426012 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 72.

The spelling of 2756683675872 in words is "two trillion, seven hundred fifty-six billion, six hundred eighty-three million, six hundred seventy-five thousand, eight hundred seventy-two".