7171207680 has 640 divisors, whose sum is σ = 29214130176. Its totient is φ = 1459814400.

The previous prime is 7171207669. The next prime is 7171207741. The reversal of 7171207680 is 867021717.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21665115 + ... + 21665445.

Almost surely, 2^7171207680 is an apocalyptic number.

7171207680 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 7171207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607065088).

7171207680 is an abundant number, since it is smaller than the sum of its proper divisors (22042922496).

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

7171207680 is a wasteful number, since it uses less digits than its factorization.

7171207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The square root of 7171207680 is about 84682.9834146152. The cubic root of 7171207680 is about 1928.4013787592.

The spelling of 7171207680 in words is "seven billion, one hundred seventy-one million, two hundred seven thousand, six hundred eighty".