8118641664 has 528 divisors, whose sum is σ = 28612147200. Its totient is φ = 2251431936.

The previous prime is 8118641653. The next prime is 8118641749. The reversal of 8118641664 is 4661468118.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102767577 + ... + 102767655.

Almost surely, 2^8118641664 is an apocalyptic number.

8118641664 is a gapful number since it is divisible by the number (84) 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 8118641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306073600).

8118641664 is an abundant number, since it is smaller than the sum of its proper divisors (20493505536).

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

8118641664 is an equidigital number, since it uses as much as digits as its factorization.

8118641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 8118641664 is about 90103.5052814262. The cubic root of 8118641664 is about 2009.8383296120.

The spelling of 8118641664 in words is "eight billion, one hundred eighteen million, six hundred forty-one thousand, six hundred sixty-four".