4775007744 has 240 divisors, whose sum is σ = 15043828800. Its totient is φ = 1449197568.

The previous prime is 4775007737. The next prime is 4775007751. The reversal of 4775007744 is 4477005774.

4775007744 is a `hidden beast` number, since 4 + 77 + 500 + 7 + 74 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4775007737) and next prime (4775007751).

It is a self number, because there is not a number n which added to its sum of digits gives 4775007744.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4731912 + ... + 4732920.

It is an arithmetic number, because the mean of its divisors is an integer number (62682620).

Almost surely, 2^4775007744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4775007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521914400).

4775007744 is an abundant number, since it is smaller than the sum of its proper divisors (10268821056).

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

4775007744 is a wasteful number, since it uses less digits than its factorization.

4775007744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 45.

The square root of 4775007744 is about 69101.4308390210. The cubic root of 4775007744 is about 1683.9325561689.

The spelling of 4775007744 in words is "four billion, seven hundred seventy-five million, seven thousand, seven hundred forty-four".