4829512320 has 768 divisors, whose sum is σ = 19155502080. Its totient is φ = 1114767360.

The previous prime is 4829512309. The next prime is 4829512333. The reversal of 4829512320 is 232159284.

It is a happy number.

4829512320 is a `hidden beast` number, since 48 + 295 + 1 + 2 + 320 = 666.

It is a super-3 number, since 3×4829512320³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 112314219 + ... + 112314261.

It is an arithmetic number, because the mean of its divisors is an integer number (24942060).

Almost surely, 2^4829512320 is an apocalyptic number.

4829512320 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 4829512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9577751040).

4829512320 is an abundant number, since it is smaller than the sum of its proper divisors (14325989760).

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

4829512320 is a wasteful number, since it uses less digits than its factorization.

4829512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4829512320 is about 69494.6927470005. The cubic root of 4829512320 is about 1690.3154436096.

The spelling of 4829512320 in words is "four billion, eight hundred twenty-nine million, five hundred twelve thousand, three hundred twenty".