1006683766227 has 24 divisors (see below), whose sum is σ = 1549440618336. Its totient is φ = 627621486336.

The previous prime is 1006683766189. The next prime is 1006683766243. The reversal of 1006683766227 is 7226673866001.

1006683766227 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 8 + 3 + 7 + 6 + 622 + 7 = 666.

It is not a de Polignac number, because 1006683766227 - 2¹⁰ = 1006683765203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006683766927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20930223 + ... + 20978264.

It is an arithmetic number, because the mean of its divisors is an integer number (64560025764).

Almost surely, 2^{1006683766227} is an apocalyptic number.

1006683766227 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1006683766227 is a deficient number, since it is larger than the sum of its proper divisors (542756852109).

1006683766227 is a wasteful number, since it uses less digits than its factorization.

1006683766227 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41908667 (or 41908664 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 1006683766227 in words is "one trillion, six billion, six hundred eighty-three million, seven hundred sixty-six thousand, two hundred twenty-seven".