7687944497867 has 16 divisors (see below), whose sum is σ = 8028873914880. Its totient is φ = 7347572983872.

The previous prime is 7687944497819. The next prime is 7687944497869.

7687944497867 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7687944497867 - 2³⁶ = 7619225021131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7687944497869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201410018 + ... + 201448184.

It is an arithmetic number, because the mean of its divisors is an integer number (501804619680).

Almost surely, 2^{7687944497867} is an apocalyptic number.

7687944497867 is a deficient number, since it is larger than the sum of its proper divisors (340929417013).

7687944497867 is a wasteful number, since it uses less digits than its factorization.

7687944497867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45242.

The product of its digits is 28677390336, while the sum is 86.

The spelling of 7687944497867 in words is "seven trillion, six hundred eighty-seven billion, nine hundred forty-four million, four hundred ninety-seven thousand, eight hundred sixty-seven".