6758960384 has 72 divisors (see below), whose sum is σ = 14762569248. Its totient is φ = 3062958080.

The previous prime is 6758960381. The next prime is 6758960387. The reversal of 6758960384 is 4830698576.

It is an interprime number because it is at equal distance from previous prime (6758960381) and next prime (6758960387).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6758960381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973694 + ... + 980610.

It is an arithmetic number, because the mean of its divisors is an integer number (205035684).

Almost surely, 2^6758960384 is an apocalyptic number.

6758960384 is a gapful number since it is divisible by the number (64) 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 6758960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381284624).

6758960384 is an abundant number, since it is smaller than the sum of its proper divisors (8003608864).

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

6758960384 is a wasteful number, since it uses less digits than its factorization.

6758960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7291 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The square root of 6758960384 is about 82212.8967011867. The cubic root of 6758960384 is about 1890.7174551892.

The spelling of 6758960384 in words is "six billion, seven hundred fifty-eight million, nine hundred sixty thousand, three hundred eighty-four".