4506558768 has 100 divisors (see below), whose sum is σ = 13264586280. Its totient is φ = 1476700416.

The previous prime is 4506558761. The next prime is 4506558769. The reversal of 4506558768 is 8678556054.

4506558768 is a `hidden beast` number, since 4 + 50 + 6 + 5 + 587 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4506558761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46996 + ... + 105932.

Almost surely, 2^4506558768 is an apocalyptic number.

4506558768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4506558768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632293140).

4506558768 is an abundant number, since it is smaller than the sum of its proper divisors (8758027512).

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

4506558768 is a wasteful number, since it uses less digits than its factorization.

4506558768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59016 (or 59001 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 4506558768 is about 67130.9076953381. The cubic root of 4506558768 is about 1651.7653304390.

The spelling of 4506558768 in words is "four billion, five hundred six million, five hundred fifty-eight thousand, seven hundred sixty-eight".