5013648640 has 648 divisors, whose sum is σ = 16886203488. Its totient is φ = 1408942080.

The previous prime is 5013648623. The next prime is 5013648643. The reversal of 5013648640 is 468463105.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5013648640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013648643) 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 71 ways as a sum of consecutive naturals, for example, 116596459 + ... + 116596501.

It is an arithmetic number, because the mean of its divisors is an integer number (26058956).

Almost surely, 2^5013648640 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 5013648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443101744).

5013648640 is an abundant number, since it is smaller than the sum of its proper divisors (11872554848).

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

5013648640 is a wasteful number, since it uses less digits than its factorization.

5013648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 5013648640 is about 70807.1228055483. The cubic root of 5013648640 is about 1711.5304561445.

The spelling of 5013648640 in words is "five billion, thirteen million, six hundred forty-eight thousand, six hundred forty".