4830432768 has 480 divisors, whose sum is σ = 17649156096. Its totient is φ = 1239220224.

The previous prime is 4830432727. The next prime is 4830432781. The reversal of 4830432768 is 8672340384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12611905 + ... + 12612287.

Almost surely, 2^4830432768 is an apocalyptic number.

4830432768 is a gapful number since it is divisible by the number (48) 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 4830432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8824578048).

4830432768 is an abundant number, since it is smaller than the sum of its proper divisors (12818723328).

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

4830432768 is a wasteful number, since it uses less digits than its factorization.

4830432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4830432768 is about 69501.3148652599. The cubic root of 4830432768 is about 1690.4228215072.

The spelling of 4830432768 in words is "four billion, eight hundred thirty million, four hundred thirty-two thousand, seven hundred sixty-eight".