6809126400 has 180 divisors, whose sum is σ = 24368396052. Its totient is φ = 1815736320.

The previous prime is 6809126383. The next prime is 6809126413. The reversal of 6809126400 is 46219086.

6809126400 is a `hidden beast` number, since 6 + 8 + 0 + 9 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85647 + ... + 144753.

Almost surely, 2^6809126400 is an apocalyptic number.

6809126400 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 6809126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184198026).

6809126400 is an abundant number, since it is smaller than the sum of its proper divisors (17559269652).

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

6809126400 is a wasteful number, since it uses less digits than its factorization.

6809126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59141 (or 59117 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6809126400 is about 82517.4308858437. The cubic root of 6809126400 is about 1895.3836590893.

The spelling of 6809126400 in words is "six billion, eight hundred nine million, one hundred twenty-six thousand, four hundred".