4781712000 has 512 divisors, whose sum is σ = 17465011200. Its totient is φ = 1150156800.

The previous prime is 4781711971. The next prime is 4781712037. The reversal of 4781712000 is 2171874.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49295952 + ... + 49296048.

It is an arithmetic number, because the mean of its divisors is an integer number (34111350).

Almost surely, 2^4781712000 is an apocalyptic number.

4781712000 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 4781712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732505600).

4781712000 is an abundant number, since it is smaller than the sum of its proper divisors (12683299200).

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

4781712000 is a wasteful number, since it uses less digits than its factorization.

4781712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 4781712000 is about 69149.9240780494. The cubic root of 4781712000 is about 1684.7202851150.

Adding to 4781712000 its reverse (2171874), we get a palindrome (4783883874).

The spelling of 4781712000 in words is "four billion, seven hundred eighty-one million, seven hundred twelve thousand".