557673938640 has 960 divisors, whose sum is σ = 2402246246400. Its totient is φ = 117081925632.

The previous prime is 557673938617. The next prime is 557673938713. The reversal of 557673938640 is 46839376755.

557673938640 is a `hidden beast` number, since 557 + 6 + 7 + 3 + 9 + 38 + 6 + 40 = 666.

It is a super-2 number, since 2×557673938640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 422799901 + ... + 422801219.

It is an arithmetic number, because the mean of its divisors is an integer number (2502339840).

Almost surely, 2^557673938640 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 557673938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201123123200).

557673938640 is an abundant number, since it is smaller than the sum of its proper divisors (1844572307760).

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

557673938640 is a wasteful number, since it uses less digits than its factorization.

557673938640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 557673938640 in words is "five hundred fifty-seven billion, six hundred seventy-three million, nine hundred thirty-eight thousand, six hundred forty".