671919398056368 has 2880 divisors, whose sum is σ = 2744264013004800. Its totient is φ = 148372470005760.

The previous prime is 671919398056301. The next prime is 671919398056421. The reversal of 671919398056368 is 863650893919176.

671919398056368 is a `hidden beast` number, since 6 + 7 + 1 + 9 + 19 + 39 + 8 + 0 + 563 + 6 + 8 = 666.

It is a super-2 number, since 2×671919398056368² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 614747847630 + ... + 614747848722.

It is an arithmetic number, because the mean of its divisors is an integer number (952869448960).

Almost surely, 2^{671919398056368} is an apocalyptic number.

671919398056368 is a gapful number since it is divisible by the number (68) 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 671919398056368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372132006502400).

671919398056368 is an abundant number, since it is smaller than the sum of its proper divisors (2072344614948432).

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

671919398056368 is a wasteful number, since it uses less digits than its factorization.

671919398056368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 81.

The spelling of 671919398056368 in words is "six hundred seventy-one trillion, nine hundred nineteen billion, three hundred ninety-eight million, fifty-six thousand, three hundred sixty-eight".