557636837940 has 576 divisors, whose sum is σ = 2260003737600. Its totient is φ = 111460437504.

The previous prime is 557636837903. The next prime is 557636837981. The reversal of 557636837940 is 49738636755.

557636837940 is a `hidden beast` number, since 557 + 6 + 3 + 6 + 8 + 3 + 79 + 4 + 0 = 666.

557636837940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12114609 + ... + 12160551.

It is an arithmetic number, because the mean of its divisors is an integer number (3923617600).

Almost surely, 2^557636837940 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 557636837940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130001868800).

557636837940 is an abundant number, since it is smaller than the sum of its proper divisors (1702366899660).

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

557636837940 is a wasteful number, since it uses less digits than its factorization.

557636837940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46013 (or 45992 counting only the distinct ones).

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

The spelling of 557636837940 in words is "five hundred fifty-seven billion, six hundred thirty-six million, eight hundred thirty-seven thousand, nine hundred forty".