4980673152 has 320 divisors, whose sum is σ = 18246412800. Its totient is φ = 1313335296.

The previous prime is 4980673147. The next prime is 4980673177. The reversal of 4980673152 is 2513760894.

4980673152 is a `hidden beast` number, since 498 + 0 + 6 + 7 + 3 + 152 = 666.

4980673152 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

4980673152 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4980673098 and 4980673107.

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 39 ways as a sum of consecutive naturals, for example, 940849 + ... + 946127.

It is an arithmetic number, because the mean of its divisors is an integer number (57020040).

It is a 1-persistent number, because it is pandigital, but 2⋅4980673152 = 9961346304 is not.

Almost surely, 2^4980673152 is an apocalyptic number.

4980673152 is a gapful number since it is divisible by the number (42) 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 4980673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123206400).

4980673152 is an abundant number, since it is smaller than the sum of its proper divisors (13265739648).

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

4980673152 is a wasteful number, since it uses less digits than its factorization.

4980673152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4980673152 is about 70573.8843482488. The cubic root of 4980673152 is about 1707.7698721189.

The spelling of 4980673152 in words is "four billion, nine hundred eighty million, six hundred seventy-three thousand, one hundred fifty-two".