6801040584 has 320 divisors, whose sum is σ = 21207795840. Its totient is φ = 2023418880.

The previous prime is 6801040583. The next prime is 6801040607. The reversal of 6801040584 is 4850401086.

6801040584 is a `hidden beast` number, since 68 + 0 + 10 + 4 + 0 + 584 = 666.

It is a super-2 number, since 2×6801040584² = 92508306050430122112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6801040583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49642564 + ... + 49642700.

It is an arithmetic number, because the mean of its divisors is an integer number (66274362).

Almost surely, 2^6801040584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801040584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10603897920).

6801040584 is an abundant number, since it is smaller than the sum of its proper divisors (14406755256).

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

6801040584 is a wasteful number, since it uses less digits than its factorization.

6801040584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6801040584 is about 82468.4217382629. The cubic root of 6801040584 is about 1894.6331078910.

The spelling of 6801040584 in words is "six billion, eight hundred one million, forty thousand, five hundred eighty-four".