6812682240 has 384 divisors, whose sum is σ = 26835943680. Its totient is φ = 1436811264.

The previous prime is 6812682193. The next prime is 6812682259. The reversal of 6812682240 is 422862186.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6812682240² = 92825278606422835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2794302 + ... + 2796738.

It is an arithmetic number, because the mean of its divisors is an integer number (69885270).

Almost surely, 2^6812682240 is an apocalyptic number.

6812682240 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 6812682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417971840).

6812682240 is an abundant number, since it is smaller than the sum of its proper divisors (20023261440).

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

6812682240 is a wasteful number, since it uses less digits than its factorization.

6812682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 6812682240 is about 82538.9740668007. The cubic root of 6812682240 is about 1895.7135353849.

The spelling of 6812682240 in words is "six billion, eight hundred twelve million, six hundred eighty-two thousand, two hundred forty".