561968640072 has 384 divisors, whose sum is σ = 1887179673600. Its totient is φ = 151711273728.

The previous prime is 561968640067. The next prime is 561968640083. The reversal of 561968640072 is 270046869165.

561968640072 is a `hidden beast` number, since 5 + 6 + 1 + 96 + 86 + 400 + 72 = 666.

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

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, 59760123 + ... + 59769525.

It is an arithmetic number, because the mean of its divisors is an integer number (4914530400).

Almost surely, 2^561968640072 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 561968640072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943589836800).

561968640072 is an abundant number, since it is smaller than the sum of its proper divisors (1325211033528).

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

561968640072 is a wasteful number, since it uses less digits than its factorization.

561968640072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9530 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 561968640072 in words is "five hundred sixty-one billion, nine hundred sixty-eight million, six hundred forty thousand, seventy-two".