561006673920 has 1792 divisors, whose sum is σ = 2558041810560. Its totient is φ = 114661785600.

The previous prime is 561006673919. The next prime is 561006673921. The reversal of 561006673920 is 29376600165.

561006673920 is a `hidden beast` number, since 5 + 610 + 0 + 6 + 6 + 7 + 3 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (561006673919) and next prime (561006673921).

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is not an unprimeable number, because it can be changed into a prime (561006673921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9196830690 + ... + 9196830750.

Almost surely, 2^561006673920 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 561006673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279020905280).

561006673920 is an abundant number, since it is smaller than the sum of its proper divisors (1997035136640).

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

561006673920 is an frugal number, since it uses more digits than its factorization.

561006673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 561006673920 in words is "five hundred sixty-one billion, six million, six hundred seventy-three thousand, nine hundred twenty".