1680775775679 has 288 divisors, whose sum is σ = 3175273488384. Its totient is φ = 767763360000.

The previous prime is 1680775775677. The next prime is 1680775775747. The reversal of 1680775775679 is 9765775770861.

It is not a de Polignac number, because 1680775775679 - 2¹ = 1680775775677 is a prime.

It is a super-2 number, since 2×1680775775679² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1680775775679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680775775677) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2663669694 + ... + 2663670324.

It is an arithmetic number, because the mean of its divisors is an integer number (11025255168).

Almost surely, 2^{1680775775679} is an apocalyptic number.

1680775775679 is a deficient number, since it is larger than the sum of its proper divisors (1494497712705).

1680775775679 is a wasteful number, since it uses less digits than its factorization.

1680775775679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1089093600, while the sum is 75.

The spelling of 1680775775679 in words is "one trillion, six hundred eighty billion, seven hundred seventy-five million, seven hundred seventy-five thousand, six hundred seventy-nine".