557940301632 has 924 divisors, whose sum is σ = 2031258072096. Its totient is φ = 151316605440.

The previous prime is 557940301603. The next prime is 557940301637. The reversal of 557940301632 is 236103049755.

557940301632 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 4 + 0 + 3 + 0 + 1 + 632 = 666.

557940301632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×557940301632² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557940301637) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 4259086207 + ... + 4259086337.

Almost surely, 2^557940301632 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 557940301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015629036048).

557940301632 is an abundant number, since it is smaller than the sum of its proper divisors (1473317770464).

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

557940301632 is an equidigital number, since it uses as much as digits as its factorization.

557940301632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 557940301632 in words is "five hundred fifty-seven billion, nine hundred forty million, three hundred one thousand, six hundred thirty-two".