8216764416 has 560 divisors, whose sum is σ = 29497263840. Its totient is φ = 2229534720.

The previous prime is 8216764399. The next prime is 8216764511. The reversal of 8216764416 is 6144676128.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 134701026 + ... + 134701086.

Almost surely, 2^8216764416 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 8216764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14748631920).

8216764416 is an abundant number, since it is smaller than the sum of its proper divisors (21280499424).

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

8216764416 is an equidigital number, since it uses as much as digits as its factorization.

8216764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 8216764416 is about 90646.3701203749. The cubic root of 8216764416 is about 2017.9029650717.

The spelling of 8216764416 in words is "eight billion, two hundred sixteen million, seven hundred sixty-four thousand, four hundred sixteen".