2705650777728 has 768 divisors, whose sum is σ = 8972820864000. Its totient is φ = 798892554240.

The previous prime is 2705650777723. The next prime is 2705650777777. The reversal of 2705650777728 is 8277770565072.

2705650777728 is a `hidden beast` number, since 2 + 7 + 0 + 56 + 507 + 7 + 7 + 72 + 8 = 666.

It is a super-2 number, since 2×2705650777728² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2705650777723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3336190443 + ... + 3336191253.

It is an arithmetic number, because the mean of its divisors is an integer number (11683360500).

Almost surely, 2^{2705650777728} 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 2705650777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486410432000).

2705650777728 is an abundant number, since it is smaller than the sum of its proper divisors (6267170086272).

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

2705650777728 is a wasteful number, since it uses less digits than its factorization.

2705650777728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 80673600, while the sum is 63.

The spelling of 2705650777728 in words is "two trillion, seven hundred five billion, six hundred fifty million, seven hundred seventy-seven thousand, seven hundred twenty-eight".