6432768 has 72 divisors (see below), whose sum is σ = 18632250. Its totient is φ = 2138112.

The previous prime is 6432743. The next prime is 6432799. The reversal of 6432768 is 8672346.

6432768 is a `hidden beast` number, since 643 + 2 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4875264 + 1557504 = 2208^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 6² + 4¹¹ + 3³ + 2¹⁷ + 7⁴ + 6⁵ + 8⁷ .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18258 + ... + 18606.

Almost surely, 2^6432768 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 6432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316125).

6432768 is an abundant number, since it is smaller than the sum of its proper divisors (12199482).

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

6432768 is a wasteful number, since it uses less digits than its factorization.

6432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

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

The square root of 6432768 is about 2536.2902042156. The cubic root of 6432768 is about 185.9798798909.

It can be divided in two parts, 64 and 32768, that multiplied together give a 21-st power (2097152 = 2²¹).

The spelling of 6432768 in words is "six million, four hundred thirty-two thousand, seven hundred sixty-eight".