6716504160 has 576 divisors, whose sum is σ = 25813831680. Its totient is φ = 1581465600.

The previous prime is 6716504159. The next prime is 6716504189. The reversal of 6716504160 is 614056176.

It is a super-2 number, since 2×6716504160² = 90222856262594611200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 44480085 + ... + 44480235.

It is an arithmetic number, because the mean of its divisors is an integer number (44815680).

Almost surely, 2^6716504160 is an apocalyptic number.

6716504160 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 6716504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906915840).

6716504160 is an abundant number, since it is smaller than the sum of its proper divisors (19097327520).

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

6716504160 is a wasteful number, since it uses less digits than its factorization.

6716504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6716504160 is about 81954.2809132018. The cubic root of 6716504160 is about 1886.7503071267.

The spelling of 6716504160 in words is "six billion, seven hundred sixteen million, five hundred four thousand, one hundred sixty".