5905336320 has 768 divisors, whose sum is σ = 23775897600. Its totient is φ = 1380188160.

The previous prime is 5905336309. The next prime is 5905336331. The reversal of 5905336320 is 236335095.

5905336320 is a `hidden beast` number, since 5 + 90 + 533 + 6 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5905336309) and next prime (5905336331).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×5905336320² = 69745994104622284800, which contains 22 as substring.

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, 111421414 + ... + 111421466.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 2^5905336320 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 5905336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887948800).

5905336320 is an abundant number, since it is smaller than the sum of its proper divisors (17870561280).

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

5905336320 is a wasteful number, since it uses less digits than its factorization.

5905336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The square root of 5905336320 is about 76846.1861122593. The cubic root of 5905336320 is about 1807.5134827940.

It can be divided in two parts, 5905 and 336320, that added together give a square (342225 = 585²).

The spelling of 5905336320 in words is "five billion, nine hundred five million, three hundred thirty-six thousand, three hundred twenty".