671307181656960 has 512 divisors, whose sum is σ = 2203703478789120. Its totient is φ = 173695680184320.

The previous prime is 671307181656949. The next prime is 671307181657001. The reversal of 671307181656960 is 69656181703176.

It is a super-2 number, since 2×671307181656960² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 671307181656891 and 671307181656900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53820821284 + ... + 53820833756.

It is an arithmetic number, because the mean of its divisors is an integer number (4304108357010).

Almost surely, 2^{671307181656960} is an apocalyptic number.

671307181656960 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 671307181656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101851739394560).

671307181656960 is an abundant number, since it is smaller than the sum of its proper divisors (1532396297132160).

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

671307181656960 is a wasteful number, since it uses less digits than its factorization.

671307181656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14566 (or 14554 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 66.

The spelling of 671307181656960 in words is "six hundred seventy-one trillion, three hundred seven billion, one hundred eighty-one million, six hundred fifty-six thousand, nine hundred sixty".