557593763664 has 160 divisors (see below), whose sum is σ = 1670921911296. Its totient is φ = 156940692480.

The previous prime is 557593763659. The next prime is 557593763681. The reversal of 557593763664 is 466367395755.

It is a junction number, because it is equal to n+sod(n) for n = 557593763595 and 557593763604.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5983959 + ... + 6076425.

Almost surely, 2^557593763664 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 557593763664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835460955648).

557593763664 is an abundant number, since it is smaller than the sum of its proper divisors (1113328147632).

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

557593763664 is a wasteful number, since it uses less digits than its factorization.

557593763664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92753 (or 92747 counting only the distinct ones).

The product of its digits is 428652000, while the sum is 66.

The spelling of 557593763664 in words is "five hundred fifty-seven billion, five hundred ninety-three million, seven hundred sixty-three thousand, six hundred sixty-four".