4985608320 has 640 divisors, whose sum is σ = 22215600000. Its totient is φ = 1035141120.

The previous prime is 4985608279. The next prime is 4985608333. The reversal of 4985608320 is 238065894.

4985608320 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 608 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991056 + ... + 3992304.

It is an arithmetic number, because the mean of its divisors is an integer number (34711875).

Almost surely, 2^4985608320 is an apocalyptic number.

4985608320 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 4985608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107800000).

4985608320 is an abundant number, since it is smaller than the sum of its proper divisors (17229991680).

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

4985608320 is a wasteful number, since it uses less digits than its factorization.

4985608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4985608320 is about 70608.8402397320. The cubic root of 4985608320 is about 1708.3337416193. Note that the first 3 decimals are identical.

The spelling of 4985608320 in words is "four billion, nine hundred eighty-five million, six hundred eight thousand, three hundred twenty".