4877873280 has 384 divisors, whose sum is σ = 19361721600. Its totient is φ = 1108500480.

The previous prime is 4877873261. The next prime is 4877873317. The reversal of 4877873280 is 823787784.

It is a happy number.

4877873280 is a `hidden beast` number, since 487 + 7 + 87 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×4877873280³ (a number of 30 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 12539326 + ... + 12539714.

It is an arithmetic number, because the mean of its divisors is an integer number (50421150).

Almost surely, 2^4877873280 is an apocalyptic number.

4877873280 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 4877873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680860800).

4877873280 is an abundant number, since it is smaller than the sum of its proper divisors (14483848320).

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

4877873280 is a wasteful number, since it uses less digits than its factorization.

4877873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The square root of 4877873280 is about 69841.7731733667. The cubic root of 4877873280 is about 1695.9387808685.

The spelling of 4877873280 in words is "four billion, eight hundred seventy-seven million, eight hundred seventy-three thousand, two hundred eighty".