5812665840 has 320 divisors, whose sum is σ = 21566476800. Its totient is φ = 1433604096.

The previous prime is 5812665829. The next prime is 5812665851. The reversal of 5812665840 is 485662185.

5812665840 is a `hidden beast` number, since 5 + 8 + 1 + 2 + 66 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5812665829) and next prime (5812665851).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2165139 + ... + 2167821.

It is an arithmetic number, because the mean of its divisors is an integer number (67395240).

Almost surely, 2^5812665840 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 5812665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10783238400).

5812665840 is an abundant number, since it is smaller than the sum of its proper divisors (15753810960).

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

5812665840 is a wasteful number, since it uses less digits than its factorization.

5812665840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5812665840 is about 76240.8410236928. The cubic root of 5812665840 is about 1798.0086867410.

The spelling of 5812665840 in words is "five billion, eight hundred twelve million, six hundred sixty-five thousand, eight hundred forty".