4734475200 has 504 divisors, whose sum is σ = 20716431008. Its totient is φ = 998645760.

The previous prime is 4734475177. The next prime is 4734475253. The reversal of 4734475200 is 25744374.

4734475200 is a `hidden beast` number, since 4 + 7 + 3 + 447 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1308594 + ... + 1312206.

Almost surely, 2^4734475200 is an apocalyptic number.

4734475200 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 4734475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358215504).

4734475200 is an abundant number, since it is smaller than the sum of its proper divisors (15981955808).

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

4734475200 is a wasteful number, since it uses less digits than its factorization.

4734475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 4734475200 is about 68807.5228445262. The cubic root of 4734475200 is about 1679.1543362934.

The spelling of 4734475200 in words is "four billion, seven hundred thirty-four million, four hundred seventy-five thousand, two hundred".