4877945280 has 448 divisors, whose sum is σ = 18726180480. Its totient is φ = 1188200448.

The previous prime is 4877945279. The next prime is 4877945291. The reversal of 4877945280 is 825497784.

It is a happy number.

4877945280 is a `hidden beast` number, since 48 + 7 + 79 + 4 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15387682 + ... + 15387998.

It is an arithmetic number, because the mean of its divisors is an integer number (41799510).

Almost surely, 2^4877945280 is an apocalyptic number.

4877945280 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 4877945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363090240).

4877945280 is an abundant number, since it is smaller than the sum of its proper divisors (13848235200).

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

4877945280 is a wasteful number, since it uses less digits than its factorization.

4877945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 4877945280 is about 69842.2886222953. The cubic root of 4877945280 is about 1695.9471251464.

The spelling of 4877945280 in words is "four billion, eight hundred seventy-seven million, nine hundred forty-five thousand, two hundred eighty".