561641324640 has 192 divisors, whose sum is σ = 1945956483072. Its totient is φ = 136155317760.

The previous prime is 561641324633. The next prime is 561641324663. The reversal of 561641324640 is 46423146165.

It is a super-2 number, since 2×561641324640² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 561641324592 and 561641324601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199329 + ... + 1078431.

It is an arithmetic number, because the mean of its divisors is an integer number (10135190016).

Almost surely, 2^561641324640 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 561641324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972978241536).

561641324640 is an abundant number, since it is smaller than the sum of its proper divisors (1384315158432).

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

561641324640 is a wasteful number, since it uses less digits than its factorization.

561641324640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879154 (or 879124 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 561641324640 in words is "five hundred sixty-one billion, six hundred forty-one million, three hundred twenty-four thousand, six hundred forty".