6768007680 has 320 divisors, whose sum is σ = 25109821440. Its totient is φ = 1523073024.

The previous prime is 6768007679. The next prime is 6768007681. The reversal of 6768007680 is 867008676.

It is an interprime number because it is at equal distance from previous prime (6768007679) and next prime (6768007681).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6768007681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3600981 + ... + 3602859.

It is an arithmetic number, because the mean of its divisors is an integer number (78468192).

Almost surely, 2^6768007680 is an apocalyptic number.

6768007680 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 6768007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554910720).

6768007680 is an abundant number, since it is smaller than the sum of its proper divisors (18341813760).

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

6768007680 is a wasteful number, since it uses less digits than its factorization.

6768007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 6768007680 is about 82267.9018815966. The cubic root of 6768007680 is about 1891.5606940274.

The spelling of 6768007680 in words is "six billion, seven hundred sixty-eight million, seven thousand, six hundred eighty".