2784789768641 has 2 divisors, whose sum is σ = 2784789768642. Its totient is φ = 2784789768640.

The previous prime is 2784789768587. The next prime is 2784789768643. The reversal of 2784789768641 is 1468679874872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2537422799041 + 247366969600 = 1592929^2 + 497360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2784789768641 is a prime.

Together with 2784789768643, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2784789768643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1392394884320 + 1392394884321.

It is an arithmetic number, because the mean of its divisors is an integer number (1392394884321).

Almost surely, 2^{2784789768641} is an apocalyptic number.

It is an amenable number.

2784789768641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2784789768641 is an equidigital number, since it uses as much as digits as its factorization.

2784789768641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1820786688, while the sum is 77.

The spelling of 2784789768641 in words is "two trillion, seven hundred eighty-four billion, seven hundred eighty-nine million, seven hundred sixty-eight thousand, six hundred forty-one".