4687200000 has 864 divisors, whose sum is σ = 20438691840. Its totient is φ = 1036800000.

The previous prime is 4687199983. The next prime is 4687200059. The reversal of 4687200000 is 27864.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151199985 + ... + 151200015.

Almost surely, 2^4687200000 is an apocalyptic number.

4687200000 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 4687200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10219345920).

4687200000 is an abundant number, since it is smaller than the sum of its proper divisors (15751491840).

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

4687200000 is an frugal number, since it uses more digits than its factorization.

4687200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4687200000 is about 68463.1287628604. The cubic root of 4687200000 is about 1673.5466713531.

Adding to 4687200000 its reverse (27864), we get a palindrome (4687227864).

The spelling of 4687200000 in words is "four billion, six hundred eighty-seven million, two hundred thousand".