8213770656 has 480 divisors, whose sum is σ = 30121217280. Its totient is φ = 2137964544.

The previous prime is 8213770613. The next prime is 8213770657. The reversal of 8213770656 is 6560773128.

It is not an unprimeable number, because it can be changed into a prime (8213770657) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22879405 + ... + 22879763.

It is an arithmetic number, because the mean of its divisors is an integer number (62752536).

Almost surely, 2^8213770656 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 8213770656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060608640).

8213770656 is an abundant number, since it is smaller than the sum of its proper divisors (21907446624).

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

8213770656 is a wasteful number, since it uses less digits than its factorization.

8213770656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 8213770656 is about 90629.8552133898. The cubic root of 8213770656 is about 2017.6578624696.

The spelling of 8213770656 in words is "eight billion, two hundred thirteen million, seven hundred seventy thousand, six hundred fifty-six".