671993501760 has 1344 divisors, whose sum is σ = 2869665177600. Its totient is φ = 140926500864.

The previous prime is 671993501743. The next prime is 671993501761. The reversal of 671993501760 is 67105399176.

It is a happy number.

671993501760 is a `hidden beast` number, since 6 + 71 + 9 + 9 + 3 + 501 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 671993501697 and 671993501706.

It is not an unprimeable number, because it can be changed into a prime (671993501761) 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 191 ways as a sum of consecutive naturals, for example, 2934469326 + ... + 2934469554.

Almost surely, 2^671993501760 is an apocalyptic number.

671993501760 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 671993501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434832588800).

671993501760 is an abundant number, since it is smaller than the sum of its proper divisors (2197671675840).

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

671993501760 is a wasteful number, since it uses less digits than its factorization.

671993501760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 671993501760 in words is "six hundred seventy-one billion, nine hundred ninety-three million, five hundred one thousand, seven hundred sixty".