4839943680 has 720 divisors, whose sum is σ = 19975949136. Its totient is φ = 1073479680.

The previous prime is 4839943643. The next prime is 4839943681. The reversal of 4839943680 is 863499384.

It is a happy number.

4839943680 is a `hidden beast` number, since 48 + 3 + 99 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4839943681) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 42831304 + ... + 42831416.

Almost surely, 2^4839943680 is an apocalyptic number.

4839943680 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 4839943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9987974568).

4839943680 is an abundant number, since it is smaller than the sum of its proper divisors (15136005456).

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

4839943680 is a wasteful number, since it uses less digits than its factorization.

4839943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 4839943680 is about 69569.7037509863. The cubic root of 4839943680 is about 1691.5315504800.

The spelling of 4839943680 in words is "four billion, eight hundred thirty-nine million, nine hundred forty-three thousand, six hundred eighty".