8433745664 has 72 divisors (see below), whose sum is σ = 17886308160. Its totient is φ = 3961294848.

The previous prime is 8433745637. The next prime is 8433745687. The reversal of 8433745664 is 4665473348.

It is a super-2 number, since 2×8433745664² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259337 + ... + 290039.

Almost surely, 2^8433745664 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 8433745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8943154080).

8433745664 is an abundant number, since it is smaller than the sum of its proper divisors (9452562496).

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

8433745664 is a wasteful number, since it uses less digits than its factorization.

8433745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30785 (or 30771 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 50.

The square root of 8433745664 is about 91835.4270638516. The cubic root of 8433745664 is about 2035.5112169603.

The spelling of 8433745664 in words is "eight billion, four hundred thirty-three million, seven hundred forty-five thousand, six hundred sixty-four".