8066238768 has 160 divisors (see below), whose sum is σ = 26539968000. Its totient is φ = 2297735424.

The previous prime is 8066238743. The next prime is 8066238793. The reversal of 8066238768 is 8678326608.

It is a happy number.

8066238768 is a `hidden beast` number, since 8 + 0 + 6 + 623 + 8 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8066238743) and next prime (8066238793).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051555 + ... + 1059197.

It is an arithmetic number, because the mean of its divisors is an integer number (165874800).

Almost surely, 2^8066238768 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 8066238768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269984000).

8066238768 is an abundant number, since it is smaller than the sum of its proper divisors (18473729232).

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

8066238768 is a wasteful number, since it uses less digits than its factorization.

8066238768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 8066238768 is about 89812.2417491068. The cubic root of 8066238768 is about 2005.5047323936.

The spelling of 8066238768 in words is "eight billion, sixty-six million, two hundred thirty-eight thousand, seven hundred sixty-eight".