561680587440 has 400 divisors, whose sum is σ = 2252487623232. Its totient is φ = 127059591168.

The previous prime is 561680587417. The next prime is 561680587583. The reversal of 561680587440 is 44785086165.

561680587440 is a `hidden beast` number, since 5 + 6 + 16 + 8 + 0 + 587 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4336092 + ... + 4463748.

Almost surely, 2^561680587440 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 561680587440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126243811616).

561680587440 is an abundant number, since it is smaller than the sum of its proper divisors (1690807035792).

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

561680587440 is a wasteful number, since it uses less digits than its factorization.

561680587440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127786 (or 127771 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 561680587440 in words is "five hundred sixty-one billion, six hundred eighty million, five hundred eighty-seven thousand, four hundred forty".