5006164064 has 48 divisors (see below), whose sum is σ = 10770278400. Its totient is φ = 2271634560.

The previous prime is 5006164057. The next prime is 5006164087. The reversal of 5006164064 is 4604616005.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5006164064.

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, 198977 + ... + 222719.

It is an arithmetic number, because the mean of its divisors is an integer number (224380800).

Almost surely, 2^5006164064 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 5006164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385139200).

5006164064 is an abundant number, since it is smaller than the sum of its proper divisors (5764114336).

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

5006164064 is a wasteful number, since it uses less digits than its factorization.

5006164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24363 (or 24355 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 5006164064 is about 70754.2512079663. The cubic root of 5006164064 is about 1710.6783515227.

The spelling of 5006164064 in words is "five billion, six million, one hundred sixty-four thousand, sixty-four".