671729513739264 has 440 divisors, whose sum is σ = 2129262368709960. Its totient is φ = 210207667912704.

The previous prime is 671729513739257. The next prime is 671729513739299. The reversal of 671729513739264 is 462937315927176.

671729513739264 is a `hidden beast` number, since 6 + 7 + 1 + 7 + 295 + 1 + 3 + 73 + 9 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235935498276864 + 435794015462400 = 15360192^2 + 20875680^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 671729513739192 and 671729513739201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 559189072 + ... + 560389040.

It is an arithmetic number, because the mean of its divisors is an integer number (4839232656159).

Almost surely, 2^{671729513739264} is an apocalyptic number.

671729513739264 is a gapful number since it is divisible by the number (64) 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 671729513739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064631184354980).

671729513739264 is an abundant number, since it is smaller than the sum of its proper divisors (1457532854970696).

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

671729513739264 is a wasteful number, since it uses less digits than its factorization.

671729513739264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200415 (or 1200388 counting only the distinct ones).

The product of its digits is 720135360, while the sum is 72.

The spelling of 671729513739264 in words is "six hundred seventy-one trillion, seven hundred twenty-nine billion, five hundred thirteen million, seven hundred thirty-nine thousand, two hundred sixty-four".