4506776568 has 288 divisors, whose sum is σ = 15158903760. Its totient is φ = 1201858560.

The previous prime is 4506776543. The next prime is 4506776569. The reversal of 4506776568 is 8656776054.

4506776568 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 7 + 76 + 568 = 666.

It is a super-2 number, since 2×4506776568² = 40622070067747717248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4506776569) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9775858 + ... + 9776318.

Almost surely, 2^4506776568 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 4506776568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579451880).

4506776568 is an abundant number, since it is smaller than the sum of its proper divisors (10652127192).

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

4506776568 is a wasteful number, since it uses less digits than its factorization.

4506776568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

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

The square root of 4506776568 is about 67132.5298793364. The cubic root of 4506776568 is about 1651.7919397072.

The spelling of 4506776568 in words is "four billion, five hundred six million, seven hundred seventy-six thousand, five hundred sixty-eight".