6787438768 has 80 divisors (see below), whose sum is σ = 15439502880. Its totient is φ = 2856038400.

The previous prime is 6787438741. The next prime is 6787438769. The reversal of 6787438768 is 8678347876.

It is not an unprimeable number, because it can be changed into a prime (6787438769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163918 + ... + 201106.

It is an arithmetic number, because the mean of its divisors is an integer number (192993786).

Almost surely, 2^6787438768 is an apocalyptic number.

6787438768 is a gapful number since it is divisible by the number (68) 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 6787438768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719751440).

6787438768 is an abundant number, since it is smaller than the sum of its proper divisors (8652064112).

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

6787438768 is a wasteful number, since it uses less digits than its factorization.

6787438768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37286 (or 37280 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 64.

The square root of 6787438768 is about 82385.9136503322. The cubic root of 6787438768 is about 1893.3692008127.

The spelling of 6787438768 in words is "six billion, seven hundred eighty-seven million, four hundred thirty-eight thousand, seven hundred sixty-eight".