6717316320 has 288 divisors, whose sum is σ = 26931157344. Its totient is φ = 1503129600.

The previous prime is 6717316283. The next prime is 6717316327. The reversal of 6717316320 is 236137176.

6717316320 is a `hidden beast` number, since 6 + 7 + 17 + 3 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6717316327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189610 + ... + 222230.

It is an arithmetic number, because the mean of its divisors is an integer number (93510963).

Almost surely, 2^6717316320 is an apocalyptic number.

6717316320 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 6717316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465578672).

6717316320 is an abundant number, since it is smaller than the sum of its proper divisors (20213841024).

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

6717316320 is a wasteful number, since it uses less digits than its factorization.

6717316320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32666 (or 32655 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 6717316320 is about 81959.2357211803. The cubic root of 6717316320 is about 1886.8263527070.

The spelling of 6717316320 in words is "six billion, seven hundred seventeen million, three hundred sixteen thousand, three hundred twenty".