6667117761 has 16 divisors (see below), whose sum is σ = 8910720000. Its totient is φ = 4434146688.

The previous prime is 6667117759. The next prime is 6667117763. The reversal of 6667117761 is 1677117666.

6667117761 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6667117759) and next prime (6667117763).

It is not a de Polignac number, because 6667117761 - 2¹ = 6667117759 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6667117761.

It is not an unprimeable number, because it can be changed into a prime (6667117763) 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 15 ways as a sum of consecutive naturals, for example, 3419815 + ... + 3421763.

It is an arithmetic number, because the mean of its divisors is an integer number (556920000).

Almost surely, 2^6667117761 is an apocalyptic number.

It is an amenable number.

6667117761 is a deficient number, since it is larger than the sum of its proper divisors (2243602239).

6667117761 is a wasteful number, since it uses less digits than its factorization.

6667117761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088.

The product of its digits is 444528, while the sum is 48.

The square root of 6667117761 is about 81652.4204234020. The cubic root of 6667117761 is about 1882.1145064067.

The spelling of 6667117761 in words is "six billion, six hundred sixty-seven million, one hundred seventeen thousand, seven hundred sixty-one".