6717817920 has 448 divisors, whose sum is σ = 25723754496. Its totient is φ = 1465221120.

The previous prime is 6717817877. The next prime is 6717817957. The reversal of 6717817920 is 297187176.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6717817920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4128147 + ... + 4129773.

Almost surely, 2^6717817920 is an apocalyptic number.

6717817920 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 6717817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12861877248).

6717817920 is an abundant number, since it is smaller than the sum of its proper divisors (19005936576).

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

6717817920 is a wasteful number, since it uses less digits than its factorization.

6717817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 48.

The square root of 6717817920 is about 81962.2957218745. The cubic root of 6717817920 is about 1886.8733163305.

The spelling of 6717817920 in words is "six billion, seven hundred seventeen million, eight hundred seventeen thousand, nine hundred twenty".