7664268624667 has 16 divisors (see below), whose sum is σ = 8143318661760. Its totient is φ = 7192852797312.

The previous prime is 7664268624599. The next prime is 7664268624673.

7664268624667 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7664268624667 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7664268624596 and 7664268624605.

It is not an unprimeable number, because it can be changed into a prime (7664268622667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3158368 + ... + 5030290.

It is an arithmetic number, because the mean of its divisors is an integer number (508957416360).

Almost surely, 2^{7664268624667} is an apocalyptic number.

7664268624667 is a deficient number, since it is larger than the sum of its proper divisors (479050037093).

7664268624667 is a wasteful number, since it uses less digits than its factorization.

7664268624667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873962.

The product of its digits is 1170505728, while the sum is 70.

The spelling of 7664268624667 in words is "seven trillion, six hundred sixty-four billion, two hundred sixty-eight million, six hundred twenty-four thousand, six hundred sixty-seven".