4747808000 has 288 divisors, whose sum is σ = 12977127072. Its totient is φ = 1720320000.

The previous prime is 4747807963. The next prime is 4747808017. The reversal of 4747808000 is 8087474.

It can be written as a sum of positive squares in 16 ways, for example, as 4207338496 + 540469504 = 64864^2 + 23248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42015944 + ... + 42016056.

It is an arithmetic number, because the mean of its divisors is an integer number (45059469).

Almost surely, 2^4747808000 is an apocalyptic number.

4747808000 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 4747808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488563536).

4747808000 is an abundant number, since it is smaller than the sum of its proper divisors (8229319072).

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

4747808000 is a wasteful number, since it uses less digits than its factorization.

4747808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 4747808000 is about 68904.3394859859. The cubic root of 4747808000 is about 1680.7290864176.

The spelling of 4747808000 in words is "four billion, seven hundred forty-seven million, eight hundred eight thousand".