561782741760 has 216 divisors, whose sum is σ = 1952434882944. Its totient is φ = 149136261120.

The previous prime is 561782741753. The next prime is 561782741803. The reversal of 561782741760 is 67147287165.

561782741760 is a `hidden beast` number, since 5 + 617 + 8 + 2 + 7 + 4 + 17 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 561782741697 and 561782741706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2459620 + ... + 2678300.

It is an arithmetic number, because the mean of its divisors is an integer number (9039050384).

Almost surely, 2^561782741760 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 561782741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976217441472).

561782741760 is an abundant number, since it is smaller than the sum of its proper divisors (1390652141184).

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

561782741760 is a wasteful number, since it uses less digits than its factorization.

561782741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218931 (or 218914 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 561782741760 in words is "five hundred sixty-one billion, seven hundred eighty-two million, seven hundred forty-one thousand, seven hundred sixty".