4744083168 has 288 divisors, whose sum is σ = 15685488000. Its totient is φ = 1397813760.

The previous prime is 4744083143. The next prime is 4744083187. The reversal of 4744083168 is 8613804474.

4744083168 is a `hidden beast` number, since 47 + 440 + 8 + 3 + 168 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3164083 + ... + 3165581.

It is an arithmetic number, because the mean of its divisors is an integer number (54463500).

Almost surely, 2^4744083168 is an apocalyptic number.

4744083168 is a gapful number since it is divisible by the number (48) 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 4744083168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744000).

4744083168 is an abundant number, since it is smaller than the sum of its proper divisors (10941404832).

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

4744083168 is a wasteful number, since it uses less digits than its factorization.

4744083168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4744083168 is about 68877.3051737653. The cubic root of 4744083168 is about 1680.2894399267.

The spelling of 4744083168 in words is "four billion, seven hundred forty-four million, eighty-three thousand, one hundred sixty-eight".