6719180160 has 512 divisors, whose sum is σ = 27298529280. Its totient is φ = 1365073920.

The previous prime is 6719180087. The next prime is 6719180161. The reversal of 6719180160 is 610819176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6719180161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6947997 + ... + 6948963.

It is an arithmetic number, because the mean of its divisors is an integer number (53317440).

Almost surely, 2^6719180160 is an apocalyptic number.

6719180160 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 6719180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13649264640).

6719180160 is an abundant number, since it is smaller than the sum of its proper divisors (20579349120).

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

6719180160 is a wasteful number, since it uses less digits than its factorization.

6719180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 6719180160 is about 81970.6054631781. The cubic root of 6719180160 is about 1887.0008478502. Note that the first 3 decimals are identical.

The spelling of 6719180160 in words is "six billion, seven hundred nineteen million, one hundred eighty thousand, one hundred sixty".