7661881667 has 16 divisors (see below), whose sum is σ = 8418159360. Its totient is φ = 6915650400.

The previous prime is 7661881649. The next prime is 7661881729.

7661881667 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7661881667 - 2⁶ = 7661881603 is a prime.

It is a super-2 number, since 2×7661881667² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7661881627) 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, 2793917 + ... + 2796657.

It is an arithmetic number, because the mean of its divisors is an integer number (526134960).

Almost surely, 2^7661881667 is an apocalyptic number.

7661881667 is a deficient number, since it is larger than the sum of its proper divisors (756277693).

7661881667 is a wasteful number, since it uses less digits than its factorization.

7661881667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474.

The product of its digits is 4064256, while the sum is 56.

The square root of 7661881667 is about 87532.1750386679. The cubic root of 7661881667 is about 1971.4169220916.

The spelling of 7661881667 in words is "seven billion, six hundred sixty-one million, eight hundred eighty-one thousand, six hundred sixty-seven".