4705089984 has 224 divisors, whose sum is σ = 15859353600. Its totient is φ = 1339960320.

The previous prime is 4705089943. The next prime is 4705089997. The reversal of 4705089984 is 4899805074.

4705089984 is a `hidden beast` number, since 47 + 0 + 508 + 9 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4705089984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6543577 + ... + 6544295.

Almost surely, 2^4705089984 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 4705089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7929676800).

4705089984 is an abundant number, since it is smaller than the sum of its proper divisors (11154263616).

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

4705089984 is a wasteful number, since it uses less digits than its factorization.

4705089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4705089984 is about 68593.6584823991. The cubic root of 4705089984 is about 1675.6731514609.

The spelling of 4705089984 in words is "four billion, seven hundred five million, eighty-nine thousand, nine hundred eighty-four".