4775047200 has 1296 divisors, whose sum is σ = 22691672640. Its totient is φ = 958003200.

The previous prime is 4775047157. The next prime is 4775047241. The reversal of 4775047200 is 27405774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 164656786 + ... + 164656814.

Almost surely, 2^4775047200 is an apocalyptic number.

4775047200 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 4775047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11345836320).

4775047200 is an abundant number, since it is smaller than the sum of its proper divisors (17916625440).

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

4775047200 is a wasteful number, since it uses less digits than its factorization.

4775047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 4775047200 is about 69101.7163317960. The cubic root of 4775047200 is about 1683.9371942807.

The spelling of 4775047200 in words is "four billion, seven hundred seventy-five million, forty-seven thousand, two hundred".