6671895246720 has 1024 divisors, whose sum is σ = 26197493299200. Its totient is φ = 1611147386880.

The previous prime is 6671895246707. The next prime is 6671895246761. The reversal of 6671895246720 is 276425981766.

6671895246720 is a `hidden beast` number, since 6 + 6 + 7 + 1 + 89 + 524 + 6 + 7 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4880683477 + ... + 4880684843.

It is an arithmetic number, because the mean of its divisors is an integer number (25583489550).

Almost surely, 2^{6671895246720} is an apocalyptic number.

6671895246720 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 6671895246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13098746649600).

6671895246720 is an abundant number, since it is smaller than the sum of its proper divisors (19525598052480).

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

6671895246720 is a wasteful number, since it uses less digits than its factorization.

6671895246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 6671895246720 in words is "six trillion, six hundred seventy-one billion, eight hundred ninety-five million, two hundred forty-six thousand, seven hundred twenty".