8284936064 has 64 divisors (see below), whose sum is σ = 16950217200. Its totient is φ = 4032184320.

The previous prime is 8284936057. The next prime is 8284936087. The reversal of 8284936064 is 4606394828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751907 + ... + 762845.

Almost surely, 2^8284936064 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 8284936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8475108600).

8284936064 is an abundant number, since it is smaller than the sum of its proper divisors (8665281136).

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

8284936064 is a wasteful number, since it uses less digits than its factorization.

8284936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111 (or 11099 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The square root of 8284936064 is about 91021.6241560213. The cubic root of 8284936064 is about 2023.4682163044.

The spelling of 8284936064 in words is "eight billion, two hundred eighty-four million, nine hundred thirty-six thousand, sixty-four".