557743864320 has 480 divisors, whose sum is σ = 2007591505920. Its totient is φ = 148403404800.

The previous prime is 557743864309. The next prime is 557743864399. The reversal of 557743864320 is 23468347755.

It is a happy number.

557743864320 is a `hidden beast` number, since 5 + 577 + 4 + 3 + 8 + 6 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×557743864320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436077441 + ... + 436078719.

It is an arithmetic number, because the mean of its divisors is an integer number (4182482304).

Almost surely, 2^557743864320 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 557743864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003795752960).

557743864320 is an abundant number, since it is smaller than the sum of its proper divisors (1449847641600).

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

557743864320 is an equidigital number, since it uses as much as digits as its factorization.

557743864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 557743864320 in words is "five hundred fifty-seven billion, seven hundred forty-three million, eight hundred sixty-four thousand, three hundred twenty".