6906716160 has 112 divisors (see below), whose sum is σ = 22100535936. Its totient is φ = 1841758208.

The previous prime is 6906716149. The next prime is 6906716171. The reversal of 6906716160 is 616176096.

It is an interprime number because it is at equal distance from previous prime (6906716149) and next prime (6906716171).

It is a super-2 number, since 2×6906716160² = 95405456229610291200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 94777 + ... + 150983.

Almost surely, 2^6906716160 is an apocalyptic number.

6906716160 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 6906716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11050267968).

6906716160 is an abundant number, since it is smaller than the sum of its proper divisors (15193819776).

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

6906716160 is an equidigital number, since it uses as much as digits as its factorization.

6906716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56241 (or 56217 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 6906716160 is about 83106.6553291612. The cubic root of 6906716160 is about 1904.3957466581.

The spelling of 6906716160 in words is "six billion, nine hundred six million, seven hundred sixteen thousand, one hundred sixty".