6809540400 has 720 divisors, whose sum is σ = 28031893344. Its totient is φ = 1572618240.

The previous prime is 6809540399. The next prime is 6809540443. The reversal of 6809540400 is 40459086.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21481042 + ... + 21481358.

Almost surely, 2^6809540400 is an apocalyptic number.

6809540400 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 6809540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14015946672).

6809540400 is an abundant number, since it is smaller than the sum of its proper divisors (21222352944).

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

6809540400 is a wasteful number, since it uses less digits than its factorization.

6809540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6809540400 is about 82519.9394086060. The cubic root of 6809540400 is about 1895.4220718943.

Adding to 6809540400 its reverse (40459086), we get a palindrome (6849999486).

The spelling of 6809540400 in words is "six billion, eight hundred nine million, five hundred forty thousand, four hundred".