6677823789840 has 720 divisors, whose sum is σ = 25339609161216. Its totient is φ = 1449029836800.

The previous prime is 6677823789827. The next prime is 6677823789859. The reversal of 6677823789840 is 489873287766.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1024045780 + ... + 1024052300.

Almost surely, 2^{6677823789840} is an apocalyptic number.

6677823789840 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 6677823789840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669804580608).

6677823789840 is an abundant number, since it is smaller than the sum of its proper divisors (18661785371376).

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

6677823789840 is a wasteful number, since it uses less digits than its factorization.

6677823789840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 1365590016, while the sum is 75.

The spelling of 6677823789840 in words is "six trillion, six hundred seventy-seven billion, eight hundred twenty-three million, seven hundred eighty-nine thousand, eight hundred forty".