5817208320 has 640 divisors, whose sum is σ = 25785492480. Its totient is φ = 1207664640.

The previous prime is 5817208279. The next prime is 5817208343. The reversal of 5817208320 is 238027185.

5817208320 is a `hidden beast` number, since 581 + 72 + 0 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5321694 + ... + 5322786.

It is an arithmetic number, because the mean of its divisors is an integer number (40289832).

Almost surely, 2^5817208320 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 5817208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12892746240).

5817208320 is an abundant number, since it is smaller than the sum of its proper divisors (19968284160).

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

5817208320 is a wasteful number, since it uses less digits than its factorization.

5817208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5817208320 is about 76270.6255382765. The cubic root of 5817208320 is about 1798.4769338465.

The spelling of 5817208320 in words is "five billion, eight hundred seventeen million, two hundred eight thousand, three hundred twenty".