4687113600 has 720 divisors, whose sum is σ = 18904364820. Its totient is φ = 1142968320.

The previous prime is 4687113589. The next prime is 4687113601. The reversal of 4687113600 is 63117864.

4687113600 is a `hidden beast` number, since 46 + 8 + 7 + 1 + 1 + 3 + 600 = 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 (4687113601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 43804747 + ... + 43804853.

Almost surely, 2^4687113600 is an apocalyptic number.

4687113600 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 4687113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452182410).

4687113600 is an abundant number, since it is smaller than the sum of its proper divisors (14217251220).

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

4687113600 is a wasteful number, since it uses less digits than its factorization.

4687113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4687113600 is about 68462.4977633741. The cubic root of 4687113600 is about 1673.5363883610.

The spelling of 4687113600 in words is "four billion, six hundred eighty-seven million, one hundred thirteen thousand, six hundred".