6678783263880 has 384 divisors, whose sum is σ = 26974516907520. Its totient is φ = 1395468103680.

The previous prime is 6678783263879. The next prime is 6678783263917. The reversal of 6678783263880 is 883623878766.

6678783263880 is a `hidden beast` number, since 66 + 78 + 78 + 326 + 38 + 80 = 666.

It is a super-2 number, since 2×6678783263880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6678783263799 and 6678783263808.

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, 2384620 + ... + 4363940.

It is an arithmetic number, because the mean of its divisors is an integer number (70246137780).

Almost surely, 2^{6678783263880} is an apocalyptic number.

6678783263880 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 6678783263880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13487258453760).

6678783263880 is an abundant number, since it is smaller than the sum of its proper divisors (20295733643640).

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

6678783263880 is a wasteful number, since it uses less digits than its factorization.

6678783263880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979461 (or 1979454 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 6678783263880 in words is "six trillion, six hundred seventy-eight billion, seven hundred eighty-three million, two hundred sixty-three thousand, eight hundred eighty".