4682568600 has 216 divisors, whose sum is σ = 16255270980. Its totient is φ = 1207958400.

The previous prime is 4682568599. The next prime is 4682568617. The reversal of 4682568600 is 68652864.

4682568600 is a `hidden beast` number, since 4 + 6 + 82 + 568 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1728447 + ... + 1731153.

Almost surely, 2^4682568600 is an apocalyptic number.

4682568600 is a gapful number since it is divisible by the number (40) 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 4682568600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127635490).

4682568600 is an abundant number, since it is smaller than the sum of its proper divisors (11572702380).

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

4682568600 is a wasteful number, since it uses less digits than its factorization.

4682568600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4682568600 is about 68429.2963576274. The cubic root of 4682568600 is about 1672.9952818725.

The spelling of 4682568600 in words is "four billion, six hundred eighty-two million, five hundred sixty-eight thousand, six hundred".