5820630400 has 288 divisors, whose sum is σ = 15970629600. Its totient is φ = 2094243840.

The previous prime is 5820630379. The next prime is 5820630437. The reversal of 5820630400 is 40360285.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25417486 + ... + 25417714.

It is an arithmetic number, because the mean of its divisors is an integer number (55453575).

Almost surely, 2^5820630400 is an apocalyptic number.

5820630400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5820630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985314800).

5820630400 is an abundant number, since it is smaller than the sum of its proper divisors (10149999200).

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

5820630400 is a wasteful number, since it uses less digits than its factorization.

5820630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5820630400 is about 76293.0560405074. The cubic root of 5820630400 is about 1798.8295271159.

Adding to 5820630400 its reverse (40360285), we get a palindrome (5860990685).

The spelling of 5820630400 in words is "five billion, eight hundred twenty million, six hundred thirty thousand, four hundred".