6711323870160 has 960 divisors, whose sum is σ = 28728291271680. Its totient is φ = 1365682913280.

The previous prime is 6711323869937. The next prime is 6711323870179. The reversal of 6711323870160 is 610783231176.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2749414540 + ... + 2749416980.

It is an arithmetic number, because the mean of its divisors is an integer number (29925303408).

Almost surely, 2^{6711323870160} is an apocalyptic number.

6711323870160 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 6711323870160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364145635840).

6711323870160 is an abundant number, since it is smaller than the sum of its proper divisors (22016967401520).

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

6711323870160 is a wasteful number, since it uses less digits than its factorization.

6711323870160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 6711323870160 in words is "six trillion, seven hundred eleven billion, three hundred twenty-three million, eight hundred seventy thousand, one hundred sixty".