4680508828800 has 768 divisors, whose sum is σ = 17944051507200. Its totient is φ = 1050236928000.

The previous prime is 4680508828753. The next prime is 4680508828889. The reversal of 4680508828800 is 88288050864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 960890365 + ... + 960895235.

It is an arithmetic number, because the mean of its divisors is an integer number (23364650400).

Almost surely, 2^{4680508828800} is an apocalyptic number.

4680508828800 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 4680508828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972025753600).

4680508828800 is an abundant number, since it is smaller than the sum of its proper divisors (13263542678400).

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

4680508828800 is a wasteful number, since it uses less digits than its factorization.

4680508828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 57.

The spelling of 4680508828800 in words is "four trillion, six hundred eighty billion, five hundred eight million, eight hundred twenty-eight thousand, eight hundred".