4800717504 has 448 divisors, whose sum is σ = 16386048000. Its totient is φ = 1364014080.

The previous prime is 4800717491. The next prime is 4800717521. The reversal of 4800717504 is 4057170084.

4800717504 is a `hidden beast` number, since 4 + 80 + 0 + 71 + 7 + 504 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34537467 + ... + 34537605.

It is an arithmetic number, because the mean of its divisors is an integer number (36576000).

Almost surely, 2^4800717504 is an apocalyptic number.

4800717504 is a gapful number since it is divisible by the number (44) 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 4800717504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193024000).

4800717504 is an abundant number, since it is smaller than the sum of its proper divisors (11585330496).

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

4800717504 is a wasteful number, since it uses less digits than its factorization.

4800717504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 4800717504 is about 69287.2102483568. The cubic root of 4800717504 is about 1686.9493772924.

Adding to 4800717504 its reverse (4057170084), we get a palindrome (8857887588).

The spelling of 4800717504 in words is "four billion, eight hundred million, seven hundred seventeen thousand, five hundred four".