66560904036 has 135 divisors (see below), whose sum is σ = 191406778563. Its totient is φ = 20154491280.

The previous prime is 66560904019. The next prime is 66560904077. The reversal of 66560904036 is 63040906566.

The square root of 66560904036 is 257994.

It is a perfect power (a square), and thus also a powerful number.

66560904036 is a `hidden beast` number, since 6 + 6 + 5 + 609 + 0 + 4 + 0 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66560903982 and 66560904000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51082161 + ... + 51083463.

Almost surely, 2^66560904036 is an apocalyptic number.

66560904036 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66560904036 is the 257994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66560904036

66560904036 is an abundant number, since it is smaller than the sum of its proper divisors (124845874527).

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

66560904036 is a wasteful number, since it uses less digits than its factorization.

66560904036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 66560904036 in words is "sixty-six billion, five hundred sixty million, nine hundred four thousand, thirty-six".