6768421922880 has 672 divisors, whose sum is σ = 24839791092480. Its totient is φ = 1752981626880.

The previous prime is 6768421922869. The next prime is 6768421922923. The reversal of 6768421922880 is 882291248676.

6768421922880 is a `hidden beast` number, since 67 + 6 + 84 + 219 + 2 + 288 + 0 = 666.

It is a super-2 number, since 2×6768421922880² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1901774541 + ... + 1901778099.

It is an arithmetic number, because the mean of its divisors is an integer number (36963974840).

Almost surely, 2^{6768421922880} is an apocalyptic number.

6768421922880 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 6768421922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12419895546240).

6768421922880 is an abundant number, since it is smaller than the sum of its proper divisors (18071369169600).

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

6768421922880 is a wasteful number, since it uses less digits than its factorization.

6768421922880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 6768421922880 in words is "six trillion, seven hundred sixty-eight billion, four hundred twenty-one million, nine hundred twenty-two thousand, eight hundred eighty".