561969757440 has 2160 divisors, whose sum is σ = 2576791590912. Its totient is φ = 115880067072.

The previous prime is 561969757429. The next prime is 561969757441. The reversal of 561969757440 is 44757969165.

561969757440 is a `hidden beast` number, since 5 + 6 + 19 + 6 + 9 + 7 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561969757441) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4424958657 + ... + 4424958783.

Almost surely, 2^561969757440 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 561969757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288395795456).

561969757440 is an abundant number, since it is smaller than the sum of its proper divisors (2014821833472).

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

561969757440 is a wasteful number, since it uses less digits than its factorization.

561969757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 561969757440 in words is "five hundred sixty-one billion, nine hundred sixty-nine million, seven hundred fifty-seven thousand, four hundred forty".