574656768 has 360 divisors, whose sum is σ = 2030035392. Its totient is φ = 158257152.

The previous prime is 574656751. The next prime is 574656787. The reversal of 574656768 is 867656475.

574656768 is a `hidden beast` number, since 5 + 74 + 6 + 567 + 6 + 8 = 666.

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 39 ways as a sum of consecutive naturals, for example, 5370571 + ... + 5370677.

Almost surely, 2^574656768 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 574656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015017696).

574656768 is an abundant number, since it is smaller than the sum of its proper divisors (1455378624).

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

574656768 is a wasteful number, since it uses less digits than its factorization.

574656768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 574656768 is about 23971.9996662773. Note that the first 3 decimals coincide. The cubic root of 574656768 is about 831.3862584178.

The spelling of 574656768 in words is "five hundred seventy-four million, six hundred fifty-six thousand, seven hundred sixty-eight".