7106261680 has 80 divisors (see below), whose sum is σ = 18901915200. Its totient is φ = 2433908736.

The previous prime is 7106261671. The next prime is 7106261711. The reversal of 7106261680 is 861626017.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581392 + ... + 593488.

It is an arithmetic number, because the mean of its divisors is an integer number (236273940).

Almost surely, 2^7106261680 is an apocalyptic number.

7106261680 is a gapful number since it is divisible by the number (70) 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 7106261680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9450957600).

7106261680 is an abundant number, since it is smaller than the sum of its proper divisors (11795653520).

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

7106261680 is a wasteful number, since it uses less digits than its factorization.

7106261680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13166 (or 13160 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 7106261680 is about 84298.6457779720. The cubic root of 7106261680 is about 1922.5621970506.

Adding to 7106261680 its reverse (861626017), we get a palindrome (7967887697).

The spelling of 7106261680 in words is "seven billion, one hundred six million, two hundred sixty-one thousand, six hundred eighty".