4802976000 has 720 divisors, whose sum is σ = 19098359280. Its totient is φ = 1194393600.

The previous prime is 4802975993. The next prime is 4802976029. The reversal of 4802976000 is 6792084.

4802976000 is a `hidden beast` number, since 48 + 0 + 2 + 9 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 585252864 + 4217723136 = 24192^2 + 64944^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 44063946 + ... + 44064054.

It is an arithmetic number, because the mean of its divisors is an integer number (26525499).

Almost surely, 2^4802976000 is an apocalyptic number.

4802976000 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 4802976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9549179640).

4802976000 is an abundant number, since it is smaller than the sum of its proper divisors (14295383280).

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

4802976000 is a wasteful number, since it uses less digits than its factorization.

4802976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4802976000 is about 69303.5064047989. The cubic root of 4802976000 is about 1687.2138774154.

The spelling of 4802976000 in words is "four billion, eight hundred two million, nine hundred seventy-six thousand".