563740128 has 192 divisors, whose sum is σ = 1990033920. Its totient is φ = 151566336.

The previous prime is 563740117. The next prime is 563740141. The reversal of 563740128 is 821047365.

563740128 is a `hidden beast` number, since 5 + 637 + 4 + 0 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 563740092 and 563740101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100075 + ... + 105557.

It is an arithmetic number, because the mean of its divisors is an integer number (10364760).

Almost surely, 2^563740128 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 563740128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995016960).

563740128 is an abundant number, since it is smaller than the sum of its proper divisors (1426293792).

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

563740128 is a wasteful number, since it uses less digits than its factorization.

563740128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 563740128 is about 23743.2122510835. The cubic root of 563740128 is about 826.0880058350.

The spelling of 563740128 in words is "five hundred sixty-three million, seven hundred forty thousand, one hundred twenty-eight".