4976318880 has 576 divisors, whose sum is σ = 20407645440. Its totient is φ = 1090879488.

The previous prime is 4976318873. The next prime is 4976318903. The reversal of 4976318880 is 888136794.

4976318880 is a `hidden beast` number, since 497 + 63 + 18 + 8 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6046149 + ... + 6046971.

It is an arithmetic number, because the mean of its divisors is an integer number (35429940).

Almost surely, 2^4976318880 is an apocalyptic number.

4976318880 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 4976318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10203822720).

4976318880 is an abundant number, since it is smaller than the sum of its proper divisors (15431326560).

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

4976318880 is a wasteful number, since it uses less digits than its factorization.

4976318880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 4976318880 is about 70543.0285712203. The cubic root of 4976318880 is about 1707.2720637354.

The spelling of 4976318880 in words is "four billion, nine hundred seventy-six million, three hundred eighteen thousand, eight hundred eighty".