8066862006 has 64 divisors (see below), whose sum is σ = 18898226688. Its totient is φ = 2247533568.

The previous prime is 8066861953. The next prime is 8066862017. The reversal of 8066862006 is 6002686608.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1212120 + ... + 1218756.

It is an arithmetic number, because the mean of its divisors is an integer number (295284792).

Almost surely, 2^8066862006 is an apocalyptic number.

8066862006 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8066862006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9449113344).

8066862006 is an abundant number, since it is smaller than the sum of its proper divisors (10831364682).

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

8066862006 is a wasteful number, since it uses less digits than its factorization.

8066862006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365.

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 8066862006 is about 89815.7113538606. The cubic root of 8066862006 is about 2005.5563828428.

The spelling of 8066862006 in words is "eight billion, sixty-six million, eight hundred sixty-two thousand, six".