8066412690336 has 2016 divisors, whose sum is σ = 33470550836352. Its totient is φ = 1847084912640.

The previous prime is 8066412690293. The next prime is 8066412690361. The reversal of 8066412690336 is 6330962146608.

8066412690336 is a `hidden beast` number, since 8 + 0 + 6 + 6 + 41 + 269 + 0 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 12352852186 + ... + 12352852838.

It is an arithmetic number, because the mean of its divisors is an integer number (16602455772).

Almost surely, 2^{8066412690336} 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 8066412690336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735275418176).

8066412690336 is an abundant number, since it is smaller than the sum of its proper divisors (25404138146016).

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

8066412690336 is a wasteful number, since it uses less digits than its factorization.

8066412690336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 8066412690336 in words is "eight trillion, sixty-six billion, four hundred twelve million, six hundred ninety thousand, three hundred thirty-six".