6675005766 has 256 divisors, whose sum is σ = 17588938752. Its totient is φ = 1655808000.

The previous prime is 6675005741. The next prime is 6675005773.

6675005766 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6675005766² = 89111403952266493512, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33883180 + ... + 33883376.

It is an arithmetic number, because the mean of its divisors is an integer number (68706792).

Almost surely, 2^6675005766 is an apocalyptic number.

6675005766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6675005766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8794469376).

6675005766 is an abundant number, since it is smaller than the sum of its proper divisors (10913932986).

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

6675005766 is a wasteful number, since it uses less digits than its factorization.

6675005766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367.

The product of its (nonzero) digits is 1587600, while the sum is 48.

The square root of 6675005766 is about 81700.7084791803. The cubic root of 6675005766 is about 1882.8564700804.

The spelling of 6675005766 in words is "six billion, six hundred seventy-five million, five thousand, seven hundred sixty-six".