561746427000 has 256 divisors, whose sum is σ = 1912977630720. Its totient is φ = 136109952000.

The previous prime is 561746426987. The next prime is 561746427043. The reversal of 561746427000 is 724647165.

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, 92495964 + ... + 92502036.

It is an arithmetic number, because the mean of its divisors is an integer number (7472568870).

Almost surely, 2^561746427000 is an apocalyptic number.

561746427000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561746427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956488815360).

561746427000 is an abundant number, since it is smaller than the sum of its proper divisors (1351231203720).

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

561746427000 is a wasteful number, since it uses less digits than its factorization.

561746427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 561746427000 in words is "five hundred sixty-one billion, seven hundred forty-six million, four hundred twenty-seven thousand".