7664600064667 has 12 divisors (see below), whose sum is σ = 9601806675216. Its totient is φ = 6064298951760.

The previous prime is 7664600064643. The next prime is 7664600064673.

7664600064667 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-7664600064667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7664600064167) 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, 6016168959 + ... + 6016170232.

It is an arithmetic number, because the mean of its divisors is an integer number (800150556268).

Almost surely, 2^{7664600064667} is an apocalyptic number.

7664600064667 is a deficient number, since it is larger than the sum of its proper divisors (1937206610549).

7664600064667 is a wasteful number, since it uses less digits than its factorization.

7664600064667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032339218 (or 12032339211 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 58.

The spelling of 7664600064667 in words is "seven trillion, six hundred sixty-four billion, six hundred million, sixty-four thousand, six hundred sixty-seven".