6807906981216 has 384 divisors, whose sum is σ = 22146319641600. Its totient is φ = 2042553024000.

The previous prime is 6807906981199. The next prime is 6807906981257. The reversal of 6807906981216 is 6121896097086.

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 63 ways as a sum of consecutive naturals, for example, 77708445 + ... + 77796003.

It is an arithmetic number, because the mean of its divisors is an integer number (57672707400).

Almost surely, 2^{6807906981216} is an apocalyptic number.

6807906981216 is a gapful number since it is divisible by the number (66) 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 6807906981216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073159820800).

6807906981216 is an abundant number, since it is smaller than the sum of its proper divisors (15338412660384).

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

6807906981216 is a wasteful number, since it uses less digits than its factorization.

6807906981216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87702 (or 87676 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 6807906981216 in words is "six trillion, eight hundred seven billion, nine hundred six million, nine hundred eighty-one thousand, two hundred sixteen".