6805486218240 has 1408 divisors, whose sum is σ = 26941913107200. Its totient is φ = 1621119467520.

The previous prime is 6805486218233. The next prime is 6805486218313. The reversal of 6805486218240 is 428126845086.

6805486218240 is a `hidden beast` number, since 6 + 8 + 0 + 5 + 4 + 8 + 621 + 8 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4157290702 + ... + 4157292338.

Almost surely, 2^{6805486218240} is an apocalyptic number.

6805486218240 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 6805486218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13470956553600).

6805486218240 is an abundant number, since it is smaller than the sum of its proper divisors (20136426888960).

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

6805486218240 is a wasteful number, since it uses less digits than its factorization.

6805486218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 6805486218240 in words is "six trillion, eight hundred five billion, four hundred eighty-six million, two hundred eighteen thousand, two hundred forty".