8109766656 has 480 divisors, whose sum is σ = 26637811200. Its totient is φ = 2448506880.

The previous prime is 8109766607. The next prime is 8109766723. The reversal of 8109766656 is 6566679018.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97707991 + ... + 97708073.

It is an arithmetic number, because the mean of its divisors is an integer number (55495440).

Almost surely, 2^8109766656 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 8109766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318905600).

8109766656 is an abundant number, since it is smaller than the sum of its proper divisors (18528044544).

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

8109766656 is a wasteful number, since it uses less digits than its factorization.

8109766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 8109766656 is about 90054.2428539600. The cubic root of 8109766656 is about 2009.1057015176.

The spelling of 8109766656 in words is "eight billion, one hundred nine million, seven hundred sixty-six thousand, six hundred fifty-six".