4774575360 has 288 divisors, whose sum is σ = 16577003520. Its totient is φ = 1166745600.

The previous prime is 4774575343. The next prime is 4774575361. The reversal of 4774575360 is 635754774.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4774575361) 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 31 ways as a sum of consecutive naturals, for example, 2260705 + ... + 2262815.

It is an arithmetic number, because the mean of its divisors is an integer number (57559040).

Almost surely, 2^4774575360 is an apocalyptic number.

4774575360 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 4774575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288501760).

4774575360 is an abundant number, since it is smaller than the sum of its proper divisors (11802428160).

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

4774575360 is a wasteful number, since it uses less digits than its factorization.

4774575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 48.

The square root of 4774575360 is about 69098.3021499081. The cubic root of 4774575360 is about 1683.8817271084.

The spelling of 4774575360 in words is "four billion, seven hundred seventy-four million, five hundred seventy-five thousand, three hundred sixty".