4893636672 has 336 divisors, whose sum is σ = 15133198080. Its totient is φ = 1509580800.

The previous prime is 4893636659. The next prime is 4893636673. The reversal of 4893636672 is 2766363984.

4893636672 is a `hidden beast` number, since 489 + 36 + 3 + 66 + 72 = 666.

It is a super-3 number, since 3×4893636672³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4893636673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61944729 + ... + 61944807.

It is an arithmetic number, because the mean of its divisors is an integer number (45039280).

Almost surely, 2^4893636672 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 4893636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566599040).

4893636672 is an abundant number, since it is smaller than the sum of its proper divisors (10239561408).

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

4893636672 is a wasteful number, since it uses less digits than its factorization.

4893636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 4893636672 is about 69954.5328910143. The cubic root of 4893636672 is about 1697.7636883074.

The spelling of 4893636672 in words is "four billion, eight hundred ninety-three million, six hundred thirty-six thousand, six hundred seventy-two".