4936839888960 has 672 divisors, whose sum is σ = 20094313075200. Its totient is φ = 1088498073600.

The previous prime is 4936839888943. The next prime is 4936839888991. The reversal of 4936839888960 is 698889386394.

4936839888960 is a `hidden beast` number, since 4 + 9 + 3 + 68 + 398 + 88 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 4936839888960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 753597685 + ... + 753604235.

It is an arithmetic number, because the mean of its divisors is an integer number (29902251600).

Almost surely, 2^{4936839888960} is an apocalyptic number.

4936839888960 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 4936839888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10047156537600).

4936839888960 is an abundant number, since it is smaller than the sum of its proper divisors (15157473186240).

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

4936839888960 is a wasteful number, since it uses less digits than its factorization.

4936839888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7899 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 3869835264, while the sum is 81.

The spelling of 4936839888960 in words is "four trillion, nine hundred thirty-six billion, eight hundred thirty-nine million, eight hundred eighty-eight thousand, nine hundred sixty".