4793061600 has 720 divisors, whose sum is σ = 19566716400. Its totient is φ = 1134673920.

The previous prime is 4793061577. The next prime is 4793061601. The reversal of 4793061600 is 61603974.

4793061600 is a `hidden beast` number, since 4 + 7 + 9 + 30 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4793061601) 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 119 ways as a sum of consecutive naturals, for example, 20930286 + ... + 20930514.

It is an arithmetic number, because the mean of its divisors is an integer number (27175995).

Almost surely, 2^4793061600 is an apocalyptic number.

4793061600 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 4793061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9783358200).

4793061600 is an abundant number, since it is smaller than the sum of its proper divisors (14773654800).

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

4793061600 is a wasteful number, since it uses less digits than its factorization.

4793061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4793061600 is about 69231.9406054749. The cubic root of 4793061600 is about 1686.0521507152.

The spelling of 4793061600 in words is "four billion, seven hundred ninety-three million, sixty-one thousand, six hundred".