6819356880 has 960 divisors, whose sum is σ = 30083788800. Its totient is φ = 1347010560.

The previous prime is 6819356851. The next prime is 6819356881. The reversal of 6819356880 is 886539186.

6819356880 is a `hidden beast` number, since 68 + 19 + 3 + 568 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6819356881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96047245 + ... + 96047315.

It is an arithmetic number, because the mean of its divisors is an integer number (31337280).

Almost surely, 2^6819356880 is an apocalyptic number.

6819356880 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 6819356880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15041894400).

6819356880 is an abundant number, since it is smaller than the sum of its proper divisors (23264431920).

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

6819356880 is a wasteful number, since it uses less digits than its factorization.

6819356880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 6819356880 is about 82579.3974305940. The cubic root of 6819356880 is about 1896.3324338315.

The spelling of 6819356880 in words is "six billion, eight hundred nineteen million, three hundred fifty-six thousand, eight hundred eighty".