6756394680 has 320 divisors, whose sum is σ = 27320832000. Its totient is φ = 1462945536.

The previous prime is 6756394679. The next prime is 6756394681. The reversal of 6756394680 is 864936576.

It is an interprime number because it is at equal distance from previous prime (6756394679) and next prime (6756394681).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6756394681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 423081 + ... + 438759.

It is an arithmetic number, because the mean of its divisors is an integer number (85377600).

Almost surely, 2^6756394680 is an apocalyptic number.

6756394680 is a gapful number since it is divisible by the number (60) 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 6756394680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660416000).

6756394680 is an abundant number, since it is smaller than the sum of its proper divisors (20564437320).

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

6756394680 is a wasteful number, since it uses less digits than its factorization.

6756394680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15728 (or 15715 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6756394680 is about 82197.2911962432. The cubic root of 6756394680 is about 1890.4781858831.

The spelling of 6756394680 in words is "six billion, seven hundred fifty-six million, three hundred ninety-four thousand, six hundred eighty".