6820408800 has 432 divisors, whose sum is σ = 24798756528. Its totient is φ = 1763328000.

The previous prime is 6820408781. The next prime is 6820408811. The reversal of 6820408800 is 88040286.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60357544 + ... + 60357656.

It is an arithmetic number, because the mean of its divisors is an integer number (57404529).

Almost surely, 2^6820408800 is an apocalyptic number.

6820408800 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 6820408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399378264).

6820408800 is an abundant number, since it is smaller than the sum of its proper divisors (17978347728).

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

6820408800 is a wasteful number, since it uses less digits than its factorization.

6820408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6820408800 is about 82585.7663281028. The cubic root of 6820408800 is about 1896.4299350812.

The spelling of 6820408800 in words is "six billion, eight hundred twenty million, four hundred eight thousand, eight hundred".