4758542880 has 576 divisors, whose sum is σ = 19112163840. Its totient is φ = 986259456.

The previous prime is 4758542869. The next prime is 4758542903. The reversal of 4758542880 is 882458574.

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, 24154942 + ... + 24155138.

It is an arithmetic number, because the mean of its divisors is an integer number (33180840).

Almost surely, 2^4758542880 is an apocalyptic number.

4758542880 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 4758542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556081920).

4758542880 is an abundant number, since it is smaller than the sum of its proper divisors (14353620960).

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

4758542880 is a wasteful number, since it uses less digits than its factorization.

4758542880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 51.

The square root of 4758542880 is about 68982.1924847275. The cubic root of 4758542880 is about 1681.9948525723.

The spelling of 4758542880 in words is "four billion, seven hundred fifty-eight million, five hundred forty-two thousand, eight hundred eighty".