4934635056 has 270 divisors, whose sum is σ = 15525344484. Its totient is φ = 1462406400.

The previous prime is 4934635051. The next prime is 4934635061. The reversal of 4934635056 is 6505364394.

4934635056 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 635 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4934635051) and next prime (4934635061).

It is not an unprimeable number, because it can be changed into a prime (4934635051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 23386791 + ... + 23387001.

Almost surely, 2^4934635056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4934635056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762672242).

4934635056 is an abundant number, since it is smaller than the sum of its proper divisors (10590709428).

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

4934635056 is a wasteful number, since it uses less digits than its factorization.

4934635056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 4934635056 is about 70246.9576280710. The cubic root of 4934635056 is about 1702.4917388513.

The spelling of 4934635056 in words is "four billion, nine hundred thirty-four million, six hundred thirty-five thousand, fifty-six".