5817834240 has 144 divisors (see below), whose sum is σ = 18896371200. Its totient is φ = 1525067776.

The previous prime is 5817834227. The next prime is 5817834247. The reversal of 5817834240 is 424387185.

It is a junction number, because it is equal to n+sod(n) for n = 5817834192 and 5817834201.

It is not an unprimeable number, because it can be changed into a prime (5817834247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 213721 + ... + 239399.

It is an arithmetic number, because the mean of its divisors is an integer number (131224800).

Almost surely, 2^5817834240 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 5817834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9448185600).

5817834240 is an abundant number, since it is smaller than the sum of its proper divisors (13078536960).

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

5817834240 is a wasteful number, since it uses less digits than its factorization.

5817834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25762 (or 25748 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 5817834240 is about 76274.7287114153. The cubic root of 5817834240 is about 1798.5414357089.

The spelling of 5817834240 in words is "five billion, eight hundred seventeen million, eight hundred thirty-four thousand, two hundred forty".