5676666765 has 64 divisors (see below), whose sum is σ = 11919882240. Its totient is φ = 2234960640.

The previous prime is 5676666761. The next prime is 5676666781.

5676666765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5676666765 - 2² = 5676666761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5676666699 and 5676666708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5676666761) 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 63 ways as a sum of consecutive naturals, for example, 107394 + ... + 151283.

It is an arithmetic number, because the mean of its divisors is an integer number (186248160).

Almost surely, 2^5676666765 is an apocalyptic number.

5676666765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5676666765 is an abundant number, since it is smaller than the sum of its proper divisors (6243215475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5676666765 is a wasteful number, since it uses less digits than its factorization.

5676666765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258722.

The product of its digits is 57153600, while the sum is 60.

The square root of 5676666765 is about 75343.6577622828. The cubic root of 5676666765 is about 1783.8751962344.

The spelling of 5676666765 in words is "five billion, six hundred seventy-six million, six hundred sixty-six thousand, seven hundred sixty-five".