4741889760 has 288 divisors, whose sum is σ = 17471039040. Its totient is φ = 1167581184.

The previous prime is 4741889753. The next prime is 4741889773. The reversal of 4741889760 is 679881474.

It is a happy number.

4741889760 is a `hidden beast` number, since 474 + 1 + 88 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4741889697 and 4741889706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958012 + ... + 962948.

It is an arithmetic number, because the mean of its divisors is an integer number (60663330).

Almost surely, 2^4741889760 is an apocalyptic number.

4741889760 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 4741889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8735519520).

4741889760 is an abundant number, since it is smaller than the sum of its proper divisors (12729149280).

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

4741889760 is a wasteful number, since it uses less digits than its factorization.

4741889760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4741889760 is about 68861.3807587388. The cubic root of 4741889760 is about 1680.0304416253.

The spelling of 4741889760 in words is "four billion, seven hundred forty-one million, eight hundred eighty-nine thousand, seven hundred sixty".