4809671680 has 352 divisors, whose sum is σ = 13582909440. Its totient is φ = 1616609280.

The previous prime is 4809671677. The next prime is 4809671693. The reversal of 4809671680 is 861769084.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×4809671680³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 60881881 + ... + 60881959.

Almost surely, 2^4809671680 is an apocalyptic number.

4809671680 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 4809671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791454720).

4809671680 is an abundant number, since it is smaller than the sum of its proper divisors (8773237760).

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

4809671680 is a wasteful number, since it uses less digits than its factorization.

4809671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 4809671680 is about 69351.7965160240. The cubic root of 4809671680 is about 1687.9975442265.

The spelling of 4809671680 in words is "four billion, eight hundred nine million, six hundred seventy-one thousand, six hundred eighty".