6171661716 has 96 divisors (see below), whose sum is σ = 16252131840. Its totient is φ = 1806364800.

The previous prime is 6171661711. The next prime is 6171661721.

6171661716 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6171661711) and next prime (6171661721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6171661711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674331 + ... + 683421.

It is an arithmetic number, because the mean of its divisors is an integer number (169293040).

Almost surely, 2^6171661716 is an apocalyptic number.

6171661716 is a gapful number since it is divisible by the number (66) 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 6171661716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126065920).

6171661716 is an abundant number, since it is smaller than the sum of its proper divisors (10080470124).

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

6171661716 is a wasteful number, since it uses less digits than its factorization.

6171661716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285 (or 9283 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 6171661716 is about 78559.9243635074. The cubic root of 6171661716 is about 1834.2873504187.

The spelling of 6171661716 in words is "six billion, one hundred seventy-one million, six hundred sixty-one thousand, seven hundred sixteen".