4934935111680 has 2304 divisors, whose sum is σ = 21393213004800. Its totient is φ = 1027709337600.

The previous prime is 4934935111663. The next prime is 4934935111681. The reversal of 4934935111680 is 861115394394.

4934935111680 is a `hidden beast` number, since 4 + 9 + 3 + 49 + 3 + 511 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (4934935111681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48860743630 + ... + 48860743730.

It is an arithmetic number, because the mean of its divisors is an integer number (9285248700).

Almost surely, 2^{4934935111680} is an apocalyptic number.

4934935111680 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 4934935111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10696606502400).

4934935111680 is an abundant number, since it is smaller than the sum of its proper divisors (16458277893120).

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

4934935111680 is a wasteful number, since it uses less digits than its factorization.

4934935111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 4934935111680 in words is "four trillion, nine hundred thirty-four billion, nine hundred thirty-five million, one hundred eleven thousand, six hundred eighty".