8106629418 has 64 divisors (see below), whose sum is σ = 19147518720. Its totient is φ = 2533510656.

The previous prime is 8106629393. The next prime is 8106629431. The reversal of 8106629418 is 8149266018.

8106629418 is a `hidden beast` number, since 8 + 1 + 0 + 6 + 629 + 4 + 18 = 666.

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, 224646 + ... + 258222.

It is an arithmetic number, because the mean of its divisors is an integer number (299179980).

Almost surely, 2^8106629418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8106629418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9573759360).

8106629418 is an abundant number, since it is smaller than the sum of its proper divisors (11040889302).

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

8106629418 is a wasteful number, since it uses less digits than its factorization.

8106629418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33868 (or 33862 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8106629418 is about 90036.8225672141. The cubic root of 8106629418 is about 2008.8465960067.

The spelling of 8106629418 in words is "eight billion, one hundred six million, six hundred twenty-nine thousand, four hundred eighteen".