671789834182656 has 1680 divisors, whose sum is σ = 2563238389383936. Its totient is φ = 171134243831808.

The previous prime is 671789834182651. The next prime is 671789834182679. The reversal of 671789834182656 is 656281438987176.

671789834182656 is a `hidden beast` number, since 6 + 7 + 1 + 7 + 8 + 9 + 8 + 341 + 8 + 265 + 6 = 666.

It is a super-2 number, since 2×671789834182656² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (671789834182651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28505518585 + ... + 28505542151.

Almost surely, 2^{671789834182656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671789834182656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281619194691968).

671789834182656 is an abundant number, since it is smaller than the sum of its proper divisors (1891448555201280).

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

671789834182656 is a wasteful number, since it uses less digits than its factorization.

671789834182656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23667 (or 23615 counting only the distinct ones).

The product of its digits is 5852528640, while the sum is 81.

The spelling of 671789834182656 in words is "six hundred seventy-one trillion, seven hundred eighty-nine billion, eight hundred thirty-four million, one hundred eighty-two thousand, six hundred fifty-six".