4756133200 has 540 divisors, whose sum is σ = 15560358240. Its totient is φ = 1364014080.

The previous prime is 4756133167. The next prime is 4756133251. The reversal of 4756133200 is 23316574.

It is a super-2 number, since 2×4756133200² = 45241606032284480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 206788389 + ... + 206788411.

Almost surely, 2^4756133200 is an apocalyptic number.

4756133200 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 4756133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780179120).

4756133200 is an abundant number, since it is smaller than the sum of its proper divisors (10804225040).

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

4756133200 is a wasteful number, since it uses less digits than its factorization.

4756133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 4756133200 is about 68964.7243161314. The cubic root of 4756133200 is about 1681.7108893371.

Adding to 4756133200 its reverse (23316574), we get a palindrome (4779449774).

The spelling of 4756133200 in words is "four billion, seven hundred fifty-six million, one hundred thirty-three thousand, two hundred".