6809356800 has 960 divisors, whose sum is σ = 28313366400. Its totient is φ = 1592524800.

The previous prime is 6809356789. The next prime is 6809356823. The reversal of 6809356800 is 86539086.

6809356800 is a `hidden beast` number, since 6 + 80 + 9 + 3 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 111628770 + ... + 111628830.

It is an arithmetic number, because the mean of its divisors is an integer number (29493090).

Almost surely, 2^6809356800 is an apocalyptic number.

6809356800 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 6809356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156683200).

6809356800 is an abundant number, since it is smaller than the sum of its proper divisors (21504009600).

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

6809356800 is a wasteful number, since it uses less digits than its factorization.

6809356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6809356800 is about 82518.8269427044. The cubic root of 6809356800 is about 1895.4050368425.

It can be divided in two parts, 6809 and 356800, that added together give a square (363609 = 603²).

The spelling of 6809356800 in words is "six billion, eight hundred nine million, three hundred fifty-six thousand, eight hundred".