6846505799840 has 288 divisors, whose sum is σ = 18906902509824. Its totient is φ = 2336012421120.

The previous prime is 6846505799801. The next prime is 6846505799927. The reversal of 6846505799840 is 489975056486.

It is a super-3 number, since 3×6846505799840³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2917129547 + ... + 2917131893.

It is an arithmetic number, because the mean of its divisors is an integer number (65648967048).

Almost surely, 2^{6846505799840} 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 6846505799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9453451254912).

6846505799840 is an abundant number, since it is smaller than the sum of its proper divisors (12060396709984).

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

6846505799840 is a wasteful number, since it uses less digits than its factorization.

6846505799840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 71.

The spelling of 6846505799840 in words is "six trillion, eight hundred forty-six billion, five hundred five million, seven hundred ninety-nine thousand, eight hundred forty".