671079112704 has 1344 divisors, whose sum is σ = 2723499434880. Its totient is φ = 160526499840.

The previous prime is 671079112687. The next prime is 671079112741. The reversal of 671079112704 is 407211970176.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 671079112704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1549836072 + ... + 1549836504.

It is an arithmetic number, because the mean of its divisors is an integer number (2026413270).

Almost surely, 2^671079112704 is an apocalyptic number.

671079112704 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 671079112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361749717440).

671079112704 is an abundant number, since it is smaller than the sum of its proper divisors (2052420322176).

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

671079112704 is a wasteful number, since it uses less digits than its factorization.

671079112704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 671079112704 in words is "six hundred seventy-one billion, seventy-nine million, one hundred twelve thousand, seven hundred four".