8107666812 has 252 divisors, whose sum is σ = 24962764680. Its totient is φ = 2296268352.

The previous prime is 8107666807. The next prime is 8107666837. The reversal of 8107666812 is 2186667018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×8107666812² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 25576078 + ... + 25576394.

It is an arithmetic number, because the mean of its divisors is an integer number (99058590).

Almost surely, 2^8107666812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8107666812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481382340).

8107666812 is an abundant number, since it is smaller than the sum of its proper divisors (16855097868).

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

8107666812 is a wasteful number, since it uses less digits than its factorization.

8107666812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8107666812 is about 90042.5833258909. The cubic root of 8107666812 is about 2008.9322821125.

The spelling of 8107666812 in words is "eight billion, one hundred seven million, six hundred sixty-six thousand, eight hundred twelve".