6801468866880 has 112 divisors (see below), whose sum is σ = 21604393371264. Its totient is φ = 1812907837440.

The previous prime is 6801468866851. The next prime is 6801468866891. The reversal of 6801468866880 is 886688641086.

It is a super-5 number, since 5×6801468866880⁵ (a number of 65 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537189 + ... + 3727131.

Almost surely, 2^{6801468866880} is an apocalyptic number.

6801468866880 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 6801468866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802196685632).

6801468866880 is an abundant number, since it is smaller than the sum of its proper divisors (14802924504384).

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

6801468866880 is a wasteful number, since it uses less digits than its factorization.

6801468866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192184 (or 3192174 counting only the distinct ones).

The product of its (nonzero) digits is 169869312, while the sum is 69.

The spelling of 6801468866880 in words is "six trillion, eight hundred one billion, four hundred sixty-eight million, eight hundred sixty-six thousand, eight hundred eighty".