6813803055360 has 864 divisors, whose sum is σ = 27053033978880. Its totient is φ = 1427771473920.

The previous prime is 6813803055359. The next prime is 6813803055419. The reversal of 6813803055360 is 635503083186.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490794979 + ... + 490808861.

It is an arithmetic number, because the mean of its divisors is an integer number (31311381920).

Almost surely, 2^{6813803055360} is an apocalyptic number.

6813803055360 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 6813803055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526516989440).

6813803055360 is an abundant number, since it is smaller than the sum of its proper divisors (20239230923520).

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

6813803055360 is a wasteful number, since it uses less digits than its factorization.

6813803055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13995 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 6813803055360 in words is "six trillion, eight hundred thirteen billion, eight hundred three million, fifty-five thousand, three hundred sixty".