5040008064 has 384 divisors, whose sum is σ = 18035297280. Its totient is φ = 1315491840.

The previous prime is 5040008041. The next prime is 5040008069. The reversal of 5040008064 is 4608000405.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040008069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13732809 + ... + 13733175.

It is an arithmetic number, because the mean of its divisors is an integer number (46966920).

Almost surely, 2^5040008064 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 5040008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017648640).

5040008064 is an abundant number, since it is smaller than the sum of its proper divisors (12995289216).

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

5040008064 is a wasteful number, since it uses less digits than its factorization.

5040008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5040008064 is about 70993.0141915386. The cubic root of 5040008064 is about 1714.5246908749.

Adding to 5040008064 its reverse (4608000405), we get a palindrome (9648008469).

The spelling of 5040008064 in words is "five billion, forty million, eight thousand, sixty-four".