6617221567 has 16 divisors (see below), whose sum is σ = 7375824000. Its totient is φ = 5886001440.

The previous prime is 6617221553. The next prime is 6617221573. The reversal of 6617221567 is 7651227166.

It is a de Polignac number, because none of the positive numbers 2^k-6617221567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6617221517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79684 + ... + 139942.

It is an arithmetic number, because the mean of its divisors is an integer number (460989000).

Almost surely, 2^6617221567 is an apocalyptic number.

6617221567 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

6617221567 is a deficient number, since it is larger than the sum of its proper divisors (758602433).

6617221567 is a wasteful number, since it uses less digits than its factorization.

6617221567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60486.

The product of its digits is 211680, while the sum is 43.

The square root of 6617221567 is about 81346.3064127684. The cubic root of 6617221567 is about 1877.4075447955.

The spelling of 6617221567 in words is "six billion, six hundred seventeen million, two hundred twenty-one thousand, five hundred sixty-seven".