6804541440 has 624 divisors, whose sum is σ = 26067038400. Its totient is φ = 1634992128.

The previous prime is 6804541433. The next prime is 6804541483. The reversal of 6804541440 is 441454086.

It is a happy number.

6804541440 is a `hidden beast` number, since 68 + 0 + 454 + 144 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6804541395 and 6804541404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101560287 + ... + 101560353.

It is an arithmetic number, because the mean of its divisors is an integer number (41774100).

Almost surely, 2^6804541440 is an apocalyptic number.

6804541440 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 6804541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033519200).

6804541440 is an abundant number, since it is smaller than the sum of its proper divisors (19262496960).

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

6804541440 is a wasteful number, since it uses less digits than its factorization.

6804541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 6804541440 is about 82489.6444409842. The cubic root of 6804541440 is about 1894.9581414813.

The spelling of 6804541440 in words is "six billion, eight hundred four million, five hundred forty-one thousand, four hundred forty".