8066210768 has 320 divisors, whose sum is σ = 21382631424. Its totient is φ = 2855424000.

The previous prime is 8066210753. The next prime is 8066210777. The reversal of 8066210768 is 8670126608.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61574063 + ... + 61574193.

Almost surely, 2^8066210768 is an apocalyptic number.

8066210768 is a gapful number since it is divisible by the number (88) 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 8066210768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10691315712).

8066210768 is an abundant number, since it is smaller than the sum of its proper divisors (13316420656).

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

8066210768 is a wasteful number, since it uses less digits than its factorization.

8066210768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 8066210768 is about 89812.0858682171. The cubic root of 8066210768 is about 2005.5024118491.

The spelling of 8066210768 in words is "eight billion, sixty-six million, two hundred ten thousand, seven hundred sixty-eight".