5805413640 has 384 divisors, whose sum is σ = 22198924800. Its totient is φ = 1344245760.

The previous prime is 5805413629. The next prime is 5805413651. The reversal of 5805413640 is 463145085.

It is a happy number.

5805413640 is a `hidden beast` number, since 5 + 8 + 0 + 5 + 4 + 1 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5805413629) and next prime (5805413651).

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

It is a junction number, because it is equal to n+sod(n) for n = 5805413595 and 5805413604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3101905 + ... + 3103775.

It is an arithmetic number, because the mean of its divisors is an integer number (57809700).

Almost surely, 2^5805413640 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 5805413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11099462400).

5805413640 is an abundant number, since it is smaller than the sum of its proper divisors (16393511160).

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

5805413640 is a wasteful number, since it uses less digits than its factorization.

5805413640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5805413640 is about 76193.2650566964. The cubic root of 5805413640 is about 1797.2606108633.

The spelling of 5805413640 in words is "five billion, eight hundred five million, four hundred thirteen thousand, six hundred forty".