7664224667 has 16 divisors (see below), whose sum is σ = 8619212160. Its totient is φ = 6755515200.

The previous prime is 7664224649. The next prime is 7664224681.

7664224667 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7664224667 - 2¹⁰ = 7664223643 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7664220667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33509 + ... + 128262.

It is an arithmetic number, because the mean of its divisors is an integer number (538700760).

Almost surely, 2^7664224667 is an apocalyptic number.

7664224667 is a deficient number, since it is larger than the sum of its proper divisors (954987493).

7664224667 is a wasteful number, since it uses less digits than its factorization.

7664224667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161914.

The product of its digits is 4064256, while the sum is 50.

The square root of 7664224667 is about 87545.5576657091. The cubic root of 7664224667 is about 1971.6178544168.

The spelling of 7664224667 in words is "seven billion, six hundred sixty-four million, two hundred twenty-four thousand, six hundred sixty-seven".