561796915680 has 2304 divisors, whose sum is σ = 2756419061760. Its totient is φ = 100329062400.

The previous prime is 561796915643. The next prime is 561796915697. The reversal of 561796915680 is 86519697165.

561796915680 is a `hidden beast` number, since 5 + 6 + 1 + 7 + 9 + 69 + 1 + 568 + 0 = 666.

It is a super-2 number, since 2×561796915680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 1999277140 + ... + 1999277420.

It is an arithmetic number, because the mean of its divisors is an integer number (1196362440).

Almost surely, 2^561796915680 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 561796915680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378209530880).

561796915680 is an abundant number, since it is smaller than the sum of its proper divisors (2194622146080).

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

561796915680 is a wasteful number, since it uses less digits than its factorization.

561796915680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 561796915680 in words is "five hundred sixty-one billion, seven hundred ninety-six million, nine hundred fifteen thousand, six hundred eighty".