561607323699840 has 4096 divisors, whose sum is σ = 2300342831677440. Its totient is φ = 114776447385600.

The previous prime is 561607323699827. The next prime is 561607323699841. The reversal of 561607323699840 is 48996323706165.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (561607323699841) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1794272599524 + ... + 1794272599836.

It is an arithmetic number, because the mean of its divisors is an integer number (561607136640).

It is a 1-persistent number, because it is pandigital, but 2⋅561607323699840 = 1123214647399680 is not.

Almost surely, 2^{561607323699840} 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 561607323699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150171415838720).

561607323699840 is an abundant number, since it is smaller than the sum of its proper divisors (1738735507977600).

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

561607323699840 is a wasteful number, since it uses less digits than its factorization.

561607323699840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 561607323699840 in words is "five hundred sixty-one trillion, six hundred seven billion, three hundred twenty-three million, six hundred ninety-nine thousand, eight hundred forty".