6809084034480 has 1920 divisors, whose sum is σ = 31012895047680. Its totient is φ = 1298544721920.

The previous prime is 6809084034443. The next prime is 6809084034497. The reversal of 6809084034480 is 844304809086.

6809084034480 is a `hidden beast` number, since 6 + 8 + 0 + 90 + 8 + 40 + 34 + 480 = 666.

It is a super-2 number, since 2×6809084034480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2817162232 + ... + 2817164648.

It is an arithmetic number, because the mean of its divisors is an integer number (16152549504).

Almost surely, 2^{6809084034480} is an apocalyptic number.

6809084034480 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 6809084034480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15506447523840).

6809084034480 is an abundant number, since it is smaller than the sum of its proper divisors (24203811013200).

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

6809084034480 is a wasteful number, since it uses less digits than its factorization.

6809084034480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2570 counting only the distinct ones).

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

The spelling of 6809084034480 in words is "six trillion, eight hundred nine billion, eighty-four million, thirty-four thousand, four hundred eighty".