6780828888900 has 720 divisors, whose sum is σ = 24268702328640. Its totient is φ = 1624076697600.

The previous prime is 6780828888893. The next prime is 6780828888907. The reversal of 6780828888900 is 98888280876.

It is an interprime number because it is at equal distance from previous prime (6780828888893) and next prime (6780828888907).

It is not an unprimeable number, because it can be changed into a prime (6780828888907) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3815884812 + ... + 3815886588.

It is an arithmetic number, because the mean of its divisors is an integer number (33706531012).

Almost surely, 2^{6780828888900} is an apocalyptic number.

6780828888900 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 6780828888900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134351164320).

6780828888900 is an abundant number, since it is smaller than the sum of its proper divisors (17487873439740).

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

6780828888900 is a wasteful number, since it uses less digits than its factorization.

6780828888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 72.

The spelling of 6780828888900 in words is "six trillion, seven hundred eighty billion, eight hundred twenty-eight million, eight hundred eighty-eight thousand, nine hundred".