4735627984 has 60 divisors (see below), whose sum is σ = 9766078924. Its totient is φ = 2224115712.

The previous prime is 4735627973. The next prime is 4735627991. The reversal of 4735627984 is 4897265374.

It can be written as a sum of positive squares in 6 ways, for example, as 558849600 + 4176778384 = 23640^2 + 64628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4332142 + ... + 4333234.

Almost surely, 2^4735627984 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 4735627984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883039462).

4735627984 is an abundant number, since it is smaller than the sum of its proper divisors (5030450940).

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

4735627984 is a wasteful number, since it uses less digits than its factorization.

4735627984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2049 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 55.

The square root of 4735627984 is about 68815.8992094124. The cubic root of 4735627984 is about 1679.2906094166.

The spelling of 4735627984 in words is "four billion, seven hundred thirty-five million, six hundred twenty-seven thousand, nine hundred eighty-four".