5144368320 has 672 divisors, whose sum is σ = 22615477248. Its totient is φ = 1083912192.

The previous prime is 5144368291. The next prime is 5144368331. The reversal of 5144368320 is 238634415.

5144368320 is a `hidden beast` number, since 514 + 43 + 6 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7075797 + ... + 7076523.

It is an arithmetic number, because the mean of its divisors is an integer number (33653984).

Almost surely, 2^5144368320 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 5144368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307738624).

5144368320 is an abundant number, since it is smaller than the sum of its proper divisors (17471108928).

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

5144368320 is a wasteful number, since it uses less digits than its factorization.

5144368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5144368320 is about 71724.2519654266. The cubic root of 5144368320 is about 1726.2777980357.

The spelling of 5144368320 in words is "five billion, one hundred forty-four million, three hundred sixty-eight thousand, three hundred twenty".