586661744340 has 864 divisors, whose sum is σ = 2202995418624. Its totient is φ = 125829365760.

The previous prime is 586661744329. The next prime is 586661744363. The reversal of 586661744340 is 43447166685.

586661744340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1361163925 + ... + 1361164355.

It is an arithmetic number, because the mean of its divisors is an integer number (2549763216).

Almost surely, 2^586661744340 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 586661744340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101497709312).

586661744340 is an abundant number, since it is smaller than the sum of its proper divisors (1616333674284).

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

586661744340 is a wasteful number, since it uses less digits than its factorization.

586661744340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 586661744340 in words is "five hundred eighty-six billion, six hundred sixty-one million, seven hundred forty-four thousand, three hundred forty".