6802827088320 has 168 divisors, whose sum is σ = 23405081100336. Its totient is φ = 1813607288832.

The previous prime is 6802827088271. The next prime is 6802827088333. The reversal of 6802827088320 is 238807282086.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10642084 + ... + 11263196.

Almost surely, 2^{6802827088320} is an apocalyptic number.

6802827088320 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 6802827088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11702540550168).

6802827088320 is an abundant number, since it is smaller than the sum of its proper divisors (16602254012016).

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

6802827088320 is a wasteful number, since it uses less digits than its factorization.

6802827088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624939 (or 624926 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 6802827088320 in words is "six trillion, eight hundred two billion, eight hundred twenty-seven million, eighty-eight thousand, three hundred twenty".