4832873136 has 720 divisors, whose sum is σ = 18523814400. Its totient is φ = 1161796608.

The previous prime is 4832873081. The next prime is 4832873153. The reversal of 4832873136 is 6313782384.

4832873136 is a `hidden beast` number, since 4 + 8 + 328 + 7 + 313 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4832873091 and 4832873100.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 81913075 + ... + 81913133.

It is an arithmetic number, because the mean of its divisors is an integer number (25727520).

Almost surely, 2^4832873136 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 4832873136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261907200).

4832873136 is an abundant number, since it is smaller than the sum of its proper divisors (13690941264).

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

4832873136 is a wasteful number, since it uses less digits than its factorization.

4832873136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 4832873136 is about 69518.8689206031. The cubic root of 4832873136 is about 1690.7074446766.

The spelling of 4832873136 in words is "four billion, eight hundred thirty-two million, eight hundred seventy-three thousand, one hundred thirty-six".