8347205664 has 216 divisors, whose sum is σ = 27711775728. Its totient is φ = 2376380160.

The previous prime is 8347205663. The next prime is 8347205719. The reversal of 8347205664 is 4665027438.

8347205664 is a `hidden beast` number, since 83 + 4 + 7 + 2 + 0 + 566 + 4 = 666.

It is a super-2 number, since 2×8347205664² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8347205663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4670179 + ... + 4671965.

It is an arithmetic number, because the mean of its divisors is an integer number (128295258).

Almost surely, 2^8347205664 is an apocalyptic number.

8347205664 is a gapful number since it is divisible by the number (84) 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 8347205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13855887864).

8347205664 is an abundant number, since it is smaller than the sum of its proper divisors (19364570064).

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

8347205664 is a wasteful number, since it uses less digits than its factorization.

8347205664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 8347205664 is about 91363.0432067584. The cubic root of 8347205664 is about 2028.5250324148.

The spelling of 8347205664 in words is "eight billion, three hundred forty-seven million, two hundred five thousand, six hundred sixty-four".