4873017600 has 324 divisors, whose sum is σ = 19008439632. Its totient is φ = 1181184000.

The previous prime is 4873017551. The next prime is 4873017619. The reversal of 4873017600 is 67103784.

4873017600 is a `hidden beast` number, since 4 + 8 + 7 + 30 + 17 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 629755 + ... + 637445.

Almost surely, 2^4873017600 is an apocalyptic number.

4873017600 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 4873017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504219816).

4873017600 is an abundant number, since it is smaller than the sum of its proper divisors (14135422032).

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

4873017600 is a wasteful number, since it uses less digits than its factorization.

4873017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4873017600 is about 69807.0025140745. The cubic root of 4873017600 is about 1695.3758531642.

The spelling of 4873017600 in words is "four billion, eight hundred seventy-three million, seventeen thousand, six hundred".