557462468640 has 576 divisors, whose sum is σ = 2335680168192. Its totient is φ = 109021102080.

The previous prime is 557462468621. The next prime is 557462468681. The reversal of 557462468640 is 46864264755.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6871192 + ... + 6951848.

It is an arithmetic number, because the mean of its divisors is an integer number (4055000292).

Almost surely, 2^557462468640 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 557462468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167840084096).

557462468640 is an abundant number, since it is smaller than the sum of its proper divisors (1778217699552).

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

557462468640 is a wasteful number, since it uses less digits than its factorization.

557462468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80721 (or 80702 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 557462468640 in words is "five hundred fifty-seven billion, four hundred sixty-two million, four hundred sixty-eight thousand, six hundred forty".