557666340 has 192 divisors, whose sum is σ = 2049546240. Its totient is φ = 109762560.

The previous prime is 557666339. The next prime is 557666357. The reversal of 557666340 is 43666755.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 557666292 and 557666301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84604 + ... + 90956.

It is an arithmetic number, because the mean of its divisors is an integer number (10674720).

Almost surely, 2^557666340 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 557666340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024773120).

557666340 is an abundant number, since it is smaller than the sum of its proper divisors (1491879900).

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

557666340 is a wasteful number, since it uses less digits than its factorization.

557666340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 557666340 is about 23614.9600888928. The cubic root of 557666340 is about 823.1105040777.

The spelling of 557666340 in words is "five hundred fifty-seven million, six hundred sixty-six thousand, three hundred forty".