6787638 has 80 divisors (see below), whose sum is σ = 17929296. Its totient is φ = 1892160.

The previous prime is 6787637. The next prime is 6787639. The reversal of 6787638 is 8367876.

6787638 is a `hidden beast` number, since 6 + 7 + 8 + 7 + 638 = 666.

It is an interprime number because it is at equal distance from previous prime (6787637) and next prime (6787639).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 6787593 and 6787602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6787631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23020 + ... + 23312.

Almost surely, 2^6787638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6787638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964648).

6787638 is an abundant number, since it is smaller than the sum of its proper divisors (11141658).

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

6787638 is a wasteful number, since it uses less digits than its factorization.

6787638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 6787638 is about 2605.3095785338. The cubic root of 6787638 is about 189.3387726016.

The spelling of 6787638 in words is "six million, seven hundred eighty-seven thousand, six hundred thirty-eight".