5820318720 has 352 divisors, whose sum is σ = 21011063040. Its totient is φ = 1527644160.

The previous prime is 5820318709. The next prime is 5820318769. The reversal of 5820318720 is 278130285.

5820318720 is a `hidden beast` number, since 582 + 0 + 3 + 1 + 8 + 72 + 0 = 666.

It is a super-2 number, since 2×5820318720² = 67752220004764876800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9814744 + ... + 9815336.

It is an arithmetic number, because the mean of its divisors is an integer number (59690520).

Almost surely, 2^5820318720 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 5820318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10505531520).

5820318720 is an abundant number, since it is smaller than the sum of its proper divisors (15190744320).

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

5820318720 is a wasteful number, since it uses less digits than its factorization.

5820318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 674 counting only the distinct ones).

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

The square root of 5820318720 is about 76291.0133633051. The cubic root of 5820318720 is about 1798.7974189561.

The spelling of 5820318720 in words is "five billion, eight hundred twenty million, three hundred eighteen thousand, seven hundred twenty".