4672985184 has 144 divisors (see below), whose sum is σ = 15209026560. Its totient is φ = 1333221120.

The previous prime is 4672985173. The next prime is 4672985243. The reversal of 4672985184 is 4815892764.

It is a happy number.

4672985184 is a `hidden beast` number, since 467 + 29 + 85 + 1 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4672985184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996687 + ... + 1999025.

It is an arithmetic number, because the mean of its divisors is an integer number (105618240).

Almost surely, 2^4672985184 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 4672985184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604513280).

4672985184 is an abundant number, since it is smaller than the sum of its proper divisors (10536041376).

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

4672985184 is a wasteful number, since it uses less digits than its factorization.

4672985184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3342 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 4672985184 is about 68359.2362742592. The cubic root of 4672985184 is about 1671.8531765185.

The spelling of 4672985184 in words is "four billion, six hundred seventy-two million, nine hundred eighty-five thousand, one hundred eighty-four".