561785462784 has 1344 divisors, whose sum is σ = 2187405734400. Its totient is φ = 139122966528.

The previous prime is 561785462759. The next prime is 561785462801. The reversal of 561785462784 is 487264587165.

561785462784 is a `hidden beast` number, since 5 + 6 + 1 + 7 + 8 + 546 + 2 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

Its product of digits (90316800) is a multiple of the sum of its prime factors (200).

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, 4971552712 + ... + 4971552824.

Almost surely, 2^561785462784 is an apocalyptic number.

561785462784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561785462784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093702867200).

561785462784 is an abundant number, since it is smaller than the sum of its proper divisors (1625620271616).

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

561785462784 is a wasteful number, since it uses less digits than its factorization.

561785462784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 157 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 561785462784 in words is "five hundred sixty-one billion, seven hundred eighty-five million, four hundred sixty-two thousand, seven hundred eighty-four".