7171168720 has 40 divisors (see below), whose sum is σ = 17247902760. Its totient is φ = 2769553920.

The previous prime is 7171168717. The next prime is 7171168757. The reversal of 7171168720 is 278611717.

It can be written as a sum of positive squares in 4 ways, for example, as 347747904 + 6823420816 = 18648^2 + 82604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1543191 + ... + 1547830.

It is an arithmetic number, because the mean of its divisors is an integer number (431197569).

Almost surely, 2^7171168720 is an apocalyptic number.

It is an amenable number.

7171168720 is an abundant number, since it is smaller than the sum of its proper divisors (10076734040).

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

7171168720 is a wasteful number, since it uses less digits than its factorization.

7171168720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091063 (or 3091057 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 40.

The square root of 7171168720 is about 84682.7533798943. The cubic root of 7171168720 is about 1928.3978865229.

The spelling of 7171168720 in words is "seven billion, one hundred seventy-one million, one hundred sixty-eight thousand, seven hundred twenty".