4748777280 has 560 divisors, whose sum is σ = 19284970320. Its totient is φ = 1098842112.

The previous prime is 4748777261. The next prime is 4748777281. The reversal of 4748777280 is 827778474.

4748777280 is a `hidden beast` number, since 474 + 87 + 77 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30735936 + 4718041344 = 5544^2 + 68688^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4748777281) by changing a digit.

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, 5727906 + ... + 5728734.

It is an arithmetic number, because the mean of its divisors is an integer number (34437447).

Almost surely, 2^4748777280 is an apocalyptic number.

4748777280 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 4748777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642485160).

4748777280 is an abundant number, since it is smaller than the sum of its proper divisors (14536193040).

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

4748777280 is a wasteful number, since it uses less digits than its factorization.

4748777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The square root of 4748777280 is about 68911.3726463201. The cubic root of 4748777280 is about 1680.8434540190.

The spelling of 4748777280 in words is "four billion, seven hundred forty-eight million, seven hundred seventy-seven thousand, two hundred eighty".