6801219105408 has 960 divisors, whose sum is σ = 26138164060800. Its totient is φ = 1715668770816.

The previous prime is 6801219105397. The next prime is 6801219105563. The reversal of 6801219105408 is 8045019121086.

It is a happy number.

6801219105408 is a `hidden beast` number, since 6 + 8 + 0 + 12 + 1 + 91 + 0 + 540 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 282090858 + ... + 282114966.

It is an arithmetic number, because the mean of its divisors is an integer number (27227254230).

Almost surely, 2^{6801219105408} 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 6801219105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069082030400).

6801219105408 is an abundant number, since it is smaller than the sum of its proper divisors (19336944955392).

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

6801219105408 is a wasteful number, since it uses less digits than its factorization.

6801219105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24191 (or 24157 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 6801219105408 in words is "six trillion, eight hundred one billion, two hundred nineteen million, one hundred five thousand, four hundred eight".