6804936230400 has 4320 divisors, whose sum is σ = 33119743013280. Its totient is φ = 1379524608000.

The previous prime is 6804936230333. The next prime is 6804936230459. The reversal of 6804936230400 is 40326394086.

6804936230400 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 9 + 3 + 6 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 165974054380 + ... + 165974054420.

It is an arithmetic number, because the mean of its divisors is an integer number (7666607179).

Almost surely, 2^{6804936230400} is an apocalyptic number.

6804936230400 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 6804936230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16559871506640).

6804936230400 is an abundant number, since it is smaller than the sum of its proper divisors (26314806782880).

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

6804936230400 is an equidigital number, since it uses as much as digits as its factorization.

6804936230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 6804936230400 in words is "six trillion, eight hundred four billion, nine hundred thirty-six million, two hundred thirty thousand, four hundred".