5006385664 has 120 divisors (see below), whose sum is σ = 11688323328. Its totient is φ = 2135992320.

The previous prime is 5006385661. The next prime is 5006385691. The reversal of 5006385664 is 4665836005.

It is a self number, because there is not a number n which added to its sum of digits gives 5006385664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006385661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10812697 + ... + 10813159.

Almost surely, 2^5006385664 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 5006385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844161664).

5006385664 is an abundant number, since it is smaller than the sum of its proper divisors (6681937664).

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

5006385664 is an equidigital number, since it uses as much as digits as its factorization.

5006385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The square root of 5006385664 is about 70755.8171742790. The cubic root of 5006385664 is about 1710.7035924540.

The spelling of 5006385664 in words is "five billion, six million, three hundred eighty-five thousand, six hundred sixty-four".