5820413760 has 1008 divisors, whose sum is σ = 25886200704. Its totient is φ = 1218281472.

The previous prime is 5820413747. The next prime is 5820413771. The reversal of 5820413760 is 673140285.

5820413760 is a `hidden beast` number, since 582 + 0 + 4 + 1 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157308462 + ... + 157308498.

Almost surely, 2^5820413760 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 5820413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943100352).

5820413760 is an abundant number, since it is smaller than the sum of its proper divisors (20065786944).

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

5820413760 is a wasteful number, since it uses less digits than its factorization.

5820413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5820413760 is about 76291.6362388434. The cubic root of 5820413760 is about 1798.8072097587.

The spelling of 5820413760 in words is "five billion, eight hundred twenty million, four hundred thirteen thousand, seven hundred sixty".