6801953703168 has 288 divisors, whose sum is σ = 19606219892224. Its totient is φ = 2081073586176.

The previous prime is 6801953703151. The next prime is 6801953703187. The reversal of 6801953703168 is 8613073591086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1477719555 + ... + 1477724157.

Almost surely, 2^{6801953703168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801953703168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9803109946112).

6801953703168 is an abundant number, since it is smaller than the sum of its proper divisors (12804266189056).

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

6801953703168 is a wasteful number, since it uses less digits than its factorization.

6801953703168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5441 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 6801953703168 in words is "six trillion, eight hundred one billion, nine hundred fifty-three million, seven hundred three thousand, one hundred sixty-eight".