4705032384 has 336 divisors, whose sum is σ = 15377281920. Its totient is φ = 1365073920.

The previous prime is 4705032313. The next prime is 4705032407. The reversal of 4705032384 is 4832305074.

It is a happy number.

4705032384 is a `hidden beast` number, since 4 + 70 + 503 + 2 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10205914 + ... + 10206374.

It is an arithmetic number, because the mean of its divisors is an integer number (45765720).

Almost surely, 2^4705032384 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 4705032384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688640960).

4705032384 is an abundant number, since it is smaller than the sum of its proper divisors (10672249536).

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

4705032384 is a wasteful number, since it uses less digits than its factorization.

4705032384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4705032384 is about 68593.2386172282. The cubic root of 4705032384 is about 1675.6663135352. Note that the first 3 decimals are identical.

The spelling of 4705032384 in words is "four billion, seven hundred five million, thirty-two thousand, three hundred eighty-four".