8007666627969 has 12 divisors (see below), whose sum is σ = 11567113257700. Its totient is φ = 5338221179904.

The previous prime is 8007666627967. The next prime is 8007666627997. The reversal of 8007666627969 is 9697266667008.

It can be written as a sum of positive squares in 2 ways, for example, as 3651680217969 + 4355986410000 = 1910937^2 + 2087100^2 .

It is not a de Polignac number, because 8007666627969 - 2¹ = 8007666627967 is a prime.

It is a super-2 number, since 2×8007666627969² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8007666627897 and 8007666627906.

It is not an unprimeable number, because it can be changed into a prime (8007666627967) 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 11 ways as a sum of consecutive naturals, for example, 18375904 + ... + 18806625.

Almost surely, 2^{8007666627969} is an apocalyptic number.

It is an amenable number.

8007666627969 is a deficient number, since it is larger than the sum of its proper divisors (3559446629731).

8007666627969 is a wasteful number, since it uses less digits than its factorization.

8007666627969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37206464 (or 37206461 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 8007666627969 in words is "eight trillion, seven billion, six hundred sixty-six million, six hundred twenty-seven thousand, nine hundred sixty-nine".