6782214240 has 480 divisors, whose sum is σ = 25453745856. Its totient is φ = 1697034240.

The previous prime is 6782214239. The next prime is 6782214247. The reversal of 6782214240 is 424122876.

6782214240 is a `hidden beast` number, since 6 + 7 + 8 + 221 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 6782214195 and 6782214204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6782214247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18182694 + ... + 18183066.

Almost surely, 2^6782214240 is an apocalyptic number.

6782214240 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 6782214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726872928).

6782214240 is an abundant number, since it is smaller than the sum of its proper divisors (18671531616).

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

6782214240 is a wasteful number, since it uses less digits than its factorization.

6782214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6782214240 is about 82354.1998929016. The cubic root of 6782214240 is about 1892.8832787101.

The spelling of 6782214240 in words is "six billion, seven hundred eighty-two million, two hundred fourteen thousand, two hundred forty".