671755175516880 has 2560 divisors, whose sum is σ = 3085265730355200. Its totient is φ = 130365075456000.

The previous prime is 671755175516839. The next prime is 671755175516911. The reversal of 671755175516880 is 88615571557176.

671755175516880 is a `hidden beast` number, since 6 + 7 + 1 + 7 + 5 + 5 + 1 + 7 + 551 + 68 + 8 + 0 = 666.

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 = 671755175516799 and 671755175516808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 67847199930 + ... + 67847209830.

It is an arithmetic number, because the mean of its divisors is an integer number (1205181925920).

Almost surely, 2^{671755175516880} is an apocalyptic number.

671755175516880 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 671755175516880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542632865177600).

671755175516880 is an abundant number, since it is smaller than the sum of its proper divisors (2413510554838320).

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

671755175516880 is a wasteful number, since it uses less digits than its factorization.

671755175516880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10490 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 493920000, while the sum is 72.

The spelling of 671755175516880 in words is "six hundred seventy-one trillion, seven hundred fifty-five billion, one hundred seventy-five million, five hundred sixteen thousand, eight hundred eighty".