6765665676 has 192 divisors, whose sum is σ = 20267089920. Its totient is φ = 1705536000.

The previous prime is 6765665659. The next prime is 6765665701.

6765665676 is nontrivially palindromic in base 10.

It is an unprimeable number.

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, 10266235 + ... + 10266893.

It is an arithmetic number, because the mean of its divisors is an integer number (105557760).

Almost surely, 2^6765665676 is an apocalyptic number.

6765665676 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6765665676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10133544960).

6765665676 is an abundant number, since it is smaller than the sum of its proper divisors (13501424244).

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

6765665676 is a wasteful number, since it uses less digits than its factorization.

6765665676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 994 counting only the distinct ones).

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

The square root of 6765665676 is about 82253.6666416762. Note that the first 4 decimals coincide. The cubic root of 6765665676 is about 1891.3424833904.

The spelling of 6765665676 in words is "six billion, seven hundred sixty-five million, six hundred sixty-five thousand, six hundred seventy-six".