4760808000 has 224 divisors, whose sum is σ = 16930542720. Its totient is φ = 1171814400.

The previous prime is 4760807971. The next prime is 4760808023. The reversal of 4760808000 is 8080674.

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, 304371 + ... + 319629.

It is an arithmetic number, because the mean of its divisors is an integer number (75582780).

Almost surely, 2^4760808000 is an apocalyptic number.

4760808000 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 4760808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465271360).

4760808000 is an abundant number, since it is smaller than the sum of its proper divisors (12169734720).

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

4760808000 is a wasteful number, since it uses less digits than its factorization.

4760808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15302 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4760808000 is about 68998.6086816249. The cubic root of 4760808000 is about 1682.2616930677.

Adding to 4760808000 its reverse (8080674), we get a palindrome (4768888674).

The spelling of 4760808000 in words is "four billion, seven hundred sixty million, eight hundred eight thousand".