4805982720 has 1200 divisors, whose sum is σ = 22352239008. Its totient is φ = 975421440.

The previous prime is 4805982719. The next prime is 4805982737. The reversal of 4805982720 is 272895084.

It is a super-3 number, since 3×4805982720³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 111767019 + ... + 111767061.

Almost surely, 2^4805982720 is an apocalyptic number.

4805982720 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 4805982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176119504).

4805982720 is an abundant number, since it is smaller than the sum of its proper divisors (17546256288).

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

4805982720 is a wasteful number, since it uses less digits than its factorization.

4805982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4805982720 is about 69325.1954198472. The cubic root of 4805982720 is about 1687.5658759468.

The spelling of 4805982720 in words is "four billion, eight hundred five million, nine hundred eighty-two thousand, seven hundred twenty".