8267712768 has 540 divisors, whose sum is σ = 29322733440. Its totient is φ = 2309658624.

The previous prime is 8267712767. The next prime is 8267712773. The reversal of 8267712768 is 8672177628.

It is a happy number.

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

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

Its product of digits (3161088) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (8267712767) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80269005 + ... + 80269107.

Almost surely, 2^8267712768 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 8267712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661366720).

8267712768 is an abundant number, since it is smaller than the sum of its proper divisors (21055020672).

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

8267712768 is a wasteful number, since it uses less digits than its factorization.

8267712768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 8267712768 is about 90926.9639216003. The cubic root of 8267712768 is about 2022.0650684799.

The spelling of 8267712768 in words is "eight billion, two hundred sixty-seven million, seven hundred twelve thousand, seven hundred sixty-eight".