4745752200 has 384 divisors, whose sum is σ = 18798796800. Its totient is φ = 1077960960.

The previous prime is 4745752169. The next prime is 4745752213. The reversal of 4745752200 is 22575474.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 8429119 + ... + 8429681.

It is an arithmetic number, because the mean of its divisors is an integer number (48955200).

Almost surely, 2^4745752200 is an apocalyptic number.

4745752200 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 4745752200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399398400).

4745752200 is an abundant number, since it is smaller than the sum of its proper divisors (14053044600).

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

4745752200 is a wasteful number, since it uses less digits than its factorization.

4745752200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4745752200 is about 68889.4200875577. The cubic root of 4745752200 is about 1680.4864662665.

The spelling of 4745752200 in words is "four billion, seven hundred forty-five million, seven hundred fifty-two thousand, two hundred".