6717216240 has 240 divisors, whose sum is σ = 26902706688. Its totient is φ = 1468583424.

The previous prime is 6717216229. The next prime is 6717216241. The reversal of 6717216240 is 426127176.

6717216240 is a `hidden beast` number, since 6 + 7 + 1 + 7 + 21 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 6717216195 and 6717216204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6717216241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86947 + ... + 144893.

Almost surely, 2^6717216240 is an apocalyptic number.

6717216240 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 6717216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13451353344).

6717216240 is an abundant number, since it is smaller than the sum of its proper divisors (20185490448).

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

6717216240 is a wasteful number, since it uses less digits than its factorization.

6717216240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57996 (or 57987 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6717216240 is about 81958.6251714852. The cubic root of 6717216240 is about 1886.8169821732.

The spelling of 6717216240 in words is "six billion, seven hundred seventeen million, two hundred sixteen thousand, two hundred forty".