4871680000 has 260 divisors, whose sum is σ = 13357293048. Its totient is φ = 1761280000.

The previous prime is 4871679863. The next prime is 4871680061. The reversal of 4871680000 is 861784.

It is a happy number.

It is a zygodrome in base 8.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 28159914 + ... + 28160086.

Almost surely, 2^4871680000 is an apocalyptic number.

4871680000 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 4871680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678646524).

4871680000 is an abundant number, since it is smaller than the sum of its proper divisors (8485613048).

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

4871680000 is an equidigital number, since it uses as much as digits as its factorization.

4871680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 4871680000 is about 69797.4211557992. The cubic root of 4871680000 is about 1695.2207171034.

The spelling of 4871680000 in words is "four billion, eight hundred seventy-one million, six hundred eighty thousand".