2675728727568 has 480 divisors, whose sum is σ = 8799975515520. Its totient is φ = 773665136640.

The previous prime is 2675728727557. The next prime is 2675728727641. The reversal of 2675728727568 is 8657278275762.

2675728727568 is a `hidden beast` number, since 2 + 6 + 7 + 57 + 2 + 8 + 7 + 2 + 7 + 568 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2675728727496 and 2675728727505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2072601003 + ... + 2072602293.

It is an arithmetic number, because the mean of its divisors is an integer number (18333282324).

Almost surely, 2^{2675728727568} 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 2675728727568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399987757760).

2675728727568 is an abundant number, since it is smaller than the sum of its proper divisors (6124246787952).

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

2675728727568 is a wasteful number, since it uses less digits than its factorization.

2675728727568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2603 counting only the distinct ones).

The product of its digits is 1106380800, while the sum is 72.

The spelling of 2675728727568 in words is "two trillion, six hundred seventy-five billion, seven hundred twenty-eight million, seven hundred twenty-seven thousand, five hundred sixty-eight".