4672687188 has 96 divisors (see below), whose sum is σ = 11923228800. Its totient is φ = 1415637504.

The previous prime is 4672687183. The next prime is 4672687189. The reversal of 4672687188 is 8817862764.

It is a happy number.

It is a super-3 number, since 3×4672687188³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672687183) 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 31 ways as a sum of consecutive naturals, for example, 6590178 + ... + 6590886.

It is an arithmetic number, because the mean of its divisors is an integer number (124200300).

Almost surely, 2^4672687188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672687188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961614400).

4672687188 is an abundant number, since it is smaller than the sum of its proper divisors (7250541612).

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

4672687188 is a wasteful number, since it uses less digits than its factorization.

4672687188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1319 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 57.

The square root of 4672687188 is about 68357.0566072004. The cubic root of 4672687188 is about 1671.8176377690.

The spelling of 4672687188 in words is "four billion, six hundred seventy-two million, six hundred eighty-seven thousand, one hundred eighty-eight".