4775241600 has 672 divisors, whose sum is σ = 18662756400. Its totient is φ = 1204346880.

The previous prime is 4775241599. The next prime is 4775241649. The reversal of 4775241600 is 61425774.

4775241600 is a `hidden beast` number, since 4 + 7 + 7 + 5 + 2 + 41 + 600 = 666.

It is a super-3 number, since 3×4775241600³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 53654356 + ... + 53654444.

Almost surely, 2^4775241600 is an apocalyptic number.

4775241600 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 4775241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331378200).

4775241600 is an abundant number, since it is smaller than the sum of its proper divisors (13887514800).

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

4775241600 is an equidigital number, since it uses as much as digits as its factorization.

4775241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4775241600 is about 69103.1229395604. The cubic root of 4775241600 is about 1683.9600459186.

The spelling of 4775241600 in words is "four billion, seven hundred seventy-five million, two hundred forty-one thousand, six hundred".