561863820672 has 1024 divisors, whose sum is σ = 2131992576000. Its totient is φ = 141450485760.

The previous prime is 561863820667. The next prime is 561863820673. The reversal of 561863820672 is 276028368165.

561863820672 is a `hidden beast` number, since 561 + 8 + 6 + 3 + 8 + 2 + 0 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561863820673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2088712954 + ... + 2088713222.

It is an arithmetic number, because the mean of its divisors is an integer number (2082024000).

Almost surely, 2^561863820672 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 561863820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065996288000).

561863820672 is an abundant number, since it is smaller than the sum of its proper divisors (1570128755328).

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

561863820672 is a wasteful number, since it uses less digits than its factorization.

561863820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 561863820672 in words is "five hundred sixty-one billion, eight hundred sixty-three million, eight hundred twenty thousand, six hundred seventy-two".