4774752000 has 432 divisors, whose sum is σ = 17534331360. Its totient is φ = 1247232000.

The previous prime is 4774751983. The next prime is 4774752007. The reversal of 4774752000 is 2574774.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4774752007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16991860 + ... + 16992140.

It is an arithmetic number, because the mean of its divisors is an integer number (40588730).

Almost surely, 2^4774752000 is an apocalyptic number.

4774752000 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 4774752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767165680).

4774752000 is an abundant number, since it is smaller than the sum of its proper divisors (12759579360).

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

4774752000 is a wasteful number, since it uses less digits than its factorization.

4774752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 350 counting only the distinct ones).

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

The square root of 4774752000 is about 69099.5803171047. The cubic root of 4774752000 is about 1683.9024924594.

The spelling of 4774752000 in words is "four billion, seven hundred seventy-four million, seven hundred fifty-two thousand".