4132032768 has 54 divisors (see below), whose sum is σ = 11913675774. Its totient is φ = 1377343488.

The previous prime is 4132032763. The next prime is 4132032787. The reversal of 4132032768 is 8672302314.

It is a happy number.

4132032768 is a `hidden beast` number, since 4 + 1 + 320 + 327 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3840033024 + 291999744 = 61968^2 + 17088^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4132032761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 894405 + ... + 899012.

Almost surely, 2^4132032768 is an apocalyptic number.

4132032768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4132032768 is an abundant number, since it is smaller than the sum of its proper divisors (7781643006).

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

4132032768 is a wasteful number, since it uses less digits than its factorization.

4132032768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793439 (or 1793422 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4132032768 is about 64280.8896018093. The cubic root of 4132032768 is about 1604.6780755918.

It can be divided in two parts, 41320 and 32768, that added together give a cube (74088 = 42³).

The spelling of 4132032768 in words is "four billion, one hundred thirty-two million, thirty-two thousand, seven hundred sixty-eight".