4735638432 has 432 divisors, whose sum is σ = 16915010112. Its totient is φ = 1276508160.

The previous prime is 4735638379. The next prime is 4735638463. The reversal of 4735638432 is 2348365374.

4735638432 is a `hidden beast` number, since 4 + 7 + 3 + 5 + 638 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19649832 + ... + 19650072.

It is an arithmetic number, because the mean of its divisors is an integer number (39155116).

Almost surely, 2^4735638432 is an apocalyptic number.

4735638432 is a gapful number since it is divisible by the number (42) 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 4735638432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457505056).

4735638432 is an abundant number, since it is smaller than the sum of its proper divisors (12179371680).

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

4735638432 is a wasteful number, since it uses less digits than its factorization.

4735638432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 272 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 4735638432 is about 68815.9751220601. The cubic root of 4735638432 is about 1679.2918443965.

The spelling of 4735638432 in words is "four billion, seven hundred thirty-five million, six hundred thirty-eight thousand, four hundred thirty-two".