4688232120 has 576 divisors, whose sum is σ = 19136295360. Its totient is φ = 985374720.

The previous prime is 4688232091. The next prime is 4688232127. The reversal of 4688232120 is 212328864.

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 (4688232127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9626517 + ... + 9627003.

It is an arithmetic number, because the mean of its divisors is an integer number (33222735).

Almost surely, 2^4688232120 is an apocalyptic number.

4688232120 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 4688232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9568147680).

4688232120 is an abundant number, since it is smaller than the sum of its proper divisors (14448063240).

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

4688232120 is a wasteful number, since it uses less digits than its factorization.

4688232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4688232120 is about 68470.6661279120. Note that the first 3 decimals coincide. The cubic root of 4688232120 is about 1673.6695004921.

The spelling of 4688232120 in words is "four billion, six hundred eighty-eight million, two hundred thirty-two thousand, one hundred twenty".