6804564480 has 480 divisors, whose sum is σ = 27821933568. Its totient is φ = 1504051200.

The previous prime is 6804564479. The next prime is 6804564581. The reversal of 6804564480 is 844654086.

6804564480 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 564 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×6804564480⁴ (a number of 40 digits) contains 4444 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 4999000 + ... + 5000360.

Almost surely, 2^6804564480 is an apocalyptic number.

6804564480 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 6804564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910966784).

6804564480 is an abundant number, since it is smaller than the sum of its proper divisors (21017369088).

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

6804564480 is a wasteful number, since it uses less digits than its factorization.

6804564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 6804564480 is about 82489.7840947593. The cubic root of 6804564480 is about 1894.9602802386.

The spelling of 6804564480 in words is "six billion, eight hundred four million, five hundred sixty-four thousand, four hundred eighty".