5810646240 has 768 divisors, whose sum is σ = 25082265600. Its totient is φ = 1226244096.

The previous prime is 5810646227. The next prime is 5810646271. The reversal of 5810646240 is 426460185.

5810646240 is a `hidden beast` number, since 5 + 8 + 1 + 0 + 646 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×5810646240² = 67527219452852275200, which contains 22 as substring.

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 = 5810646195 and 5810646204.

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 127 ways as a sum of consecutive naturals, for example, 45753057 + ... + 45753183.

It is an arithmetic number, because the mean of its divisors is an integer number (32659200).

Almost surely, 2^5810646240 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 5810646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541132800).

5810646240 is an abundant number, since it is smaller than the sum of its proper divisors (19271619360).

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

5810646240 is a wasteful number, since it uses less digits than its factorization.

5810646240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5810646240 is about 76227.5950033844. The cubic root of 5810646240 is about 1797.8004243543.

The spelling of 5810646240 in words is "five billion, eight hundred ten million, six hundred forty-six thousand, two hundred forty".