4772832120 has 256 divisors, whose sum is σ = 18973440000. Its totient is φ = 1043463168.

The previous prime is 4772832079. The next prime is 4772832121. The reversal of 4772832120 is 212382774.

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 (4772832121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160156 + ... + 187604.

It is an arithmetic number, because the mean of its divisors is an integer number (74115000).

Almost surely, 2^4772832120 is an apocalyptic number.

4772832120 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 4772832120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486720000).

4772832120 is an abundant number, since it is smaller than the sum of its proper divisors (14200607880).

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

4772832120 is a wasteful number, since it uses less digits than its factorization.

4772832120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27499 (or 27489 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4772832120 is about 69085.6867954571. The cubic root of 4772832120 is about 1683.6767687556.

The spelling of 4772832120 in words is "four billion, seven hundred seventy-two million, eight hundred thirty-two thousand, one hundred twenty".