6893844480 has 576 divisors, whose sum is σ = 26166067200. Its totient is φ = 1672151040.

The previous prime is 6893844457. The next prime is 6893844491. The reversal of 6893844480 is 844483986.

6893844480 is a `hidden beast` number, since 6 + 89 + 3 + 84 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 54282177 + ... + 54282303.

It is an arithmetic number, because the mean of its divisors is an integer number (45427200).

Almost surely, 2^6893844480 is an apocalyptic number.

6893844480 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 6893844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083033600).

6893844480 is an abundant number, since it is smaller than the sum of its proper divisors (19272222720).

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

6893844480 is a wasteful number, since it uses less digits than its factorization.

6893844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 6893844480 is about 83029.1784856384. The cubic root of 6893844480 is about 1903.2119705780.

The spelling of 6893844480 in words is "six billion, eight hundred ninety-three million, eight hundred forty-four thousand, four hundred eighty".