7667221567 has 8 divisors (see below), whose sum is σ = 7691554080. Its totient is φ = 7642917120.

The previous prime is 7667221543. The next prime is 7667221621. The reversal of 7667221567 is 7651227667.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7667221567 - 2¹⁵ = 7667188799 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7667221567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7667221967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629142 + ... + 641212.

It is an arithmetic number, because the mean of its divisors is an integer number (961444260).

Almost surely, 2^7667221567 is an apocalyptic number.

7667221567 is a deficient number, since it is larger than the sum of its proper divisors (24332513).

7667221567 is a wasteful number, since it uses less digits than its factorization.

7667221567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14033.

The product of its digits is 1481760, while the sum is 49.

The square root of 7667221567 is about 87562.6722239563. The cubic root of 7667221567 is about 1971.8748045897.

The spelling of 7667221567 in words is "seven billion, six hundred sixty-seven million, two hundred twenty-one thousand, five hundred sixty-seven".