561757680 has 480 divisors, whose sum is σ = 2222857728. Its totient is φ = 130636800.

The previous prime is 561757663. The next prime is 561757699. The reversal of 561757680 is 86757165.

561757680 is a `hidden beast` number, since 561 + 7 + 5 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7912045 + ... + 7912115.

Almost surely, 2^561757680 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 561757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111428864).

561757680 is an abundant number, since it is smaller than the sum of its proper divisors (1661100048).

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

561757680 is a wasteful number, since it uses less digits than its factorization.

561757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 561757680 is about 23701.4278050922. The cubic root of 561757680 is about 825.1185284247.

The spelling of 561757680 in words is "five hundred sixty-one million, seven hundred fifty-seven thousand, six hundred eighty".