6438768 has 40 divisors (see below), whose sum is σ = 19010688. Its totient is φ = 1839552.

The previous prime is 6438749. The next prime is 6438799. The reversal of 6438768 is 8678346.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 6³ + 4⁷ + 3¹² + 8⁷ + 7⁵ + 6⁸ + 8⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9246 + ... + 9917.

Almost surely, 2^6438768 is an apocalyptic number.

It is an amenable number.

6438768 is an abundant number, since it is smaller than the sum of its proper divisors (12571920).

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

6438768 is a wasteful number, since it uses less digits than its factorization.

6438768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19181 (or 19175 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 6438768 is about 2537.4727584745. The cubic root of 6438768 is about 186.0376845831.

The spelling of 6438768 in words is "six million, four hundred thirty-eight thousand, seven hundred sixty-eight".