6781673346624 has 504 divisors, whose sum is σ = 22775905789728. Its totient is φ = 1984146554880.

The previous prime is 6781673346619. The next prime is 6781673346671. The reversal of 6781673346624 is 4266433761876.

6781673346624 is a `hidden beast` number, since 6 + 7 + 8 + 167 + 3 + 3 + 466 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143847984 + ... + 143895120.

Almost surely, 2^{6781673346624} is an apocalyptic number.

6781673346624 is a gapful number since it is divisible by the number (64) 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 6781673346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387952894864).

6781673346624 is an abundant number, since it is smaller than the sum of its proper divisors (15994232443104).

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

6781673346624 is a wasteful number, since it uses less digits than its factorization.

6781673346624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47233 (or 47182 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 6781673346624 in words is "six trillion, seven hundred eighty-one billion, six hundred seventy-three million, three hundred forty-six thousand, six hundred twenty-four".