561480674976 has 144 divisors (see below), whose sum is σ = 1719972694440. Its totient is φ = 172719267840.

The previous prime is 561480674939. The next prime is 561480675011. The reversal of 561480674976 is 679476084165.

It is a happy number.

561480674976 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 80 + 67 + 497 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 452794410000 + 108686264976 = 672900^2 + 329676^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16610220 + ... + 16643988.

Almost surely, 2^561480674976 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 561480674976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859986347220).

561480674976 is an abundant number, since it is smaller than the sum of its proper divisors (1158492019464).

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

561480674976 is a wasteful number, since it uses less digits than its factorization.

561480674976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38239 (or 38228 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 561480674976 in words is "five hundred sixty-one billion, four hundred eighty million, six hundred seventy-four thousand, nine hundred seventy-six".