8617266768 has 80 divisors (see below), whose sum is σ = 24319872000. Its totient is φ = 2607546240.

The previous prime is 8617266761. The next prime is 8617266839. The reversal of 8617266768 is 8676627168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8617266761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368283 + ... + 390981.

It is an arithmetic number, because the mean of its divisors is an integer number (303998400).

Almost surely, 2^8617266768 is an apocalyptic number.

8617266768 is a gapful number since it is divisible by the number (88) 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 8617266768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12159936000).

8617266768 is an abundant number, since it is smaller than the sum of its proper divisors (15702605232).

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

8617266768 is a wasteful number, since it uses less digits than its factorization.

8617266768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23440 (or 23434 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 8617266768 is about 92829.2344469133. The cubic root of 8617266768 is about 2050.1698663922.

The spelling of 8617266768 in words is "eight billion, six hundred seventeen million, two hundred sixty-six thousand, seven hundred sixty-eight".