6671991411072 has 384 divisors, whose sum is σ = 21773492832000. Its totient is φ = 1944063700992.

The previous prime is 6671991410911. The next prime is 6671991411097. The reversal of 6671991411072 is 2701141991766.

It is a happy number.

6671991411072 is a `hidden beast` number, since 6 + 6 + 71 + 9 + 91 + 411 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1231219179 + ... + 1231224597.

It is an arithmetic number, because the mean of its divisors is an integer number (56701804250).

Almost surely, 2^{6671991411072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6671991411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886746416000).

6671991411072 is an abundant number, since it is smaller than the sum of its proper divisors (15101501420928).

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

6671991411072 is a wasteful number, since it uses less digits than its factorization.

6671991411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9798 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 6671991411072 in words is "six trillion, six hundred seventy-one billion, nine hundred ninety-one million, four hundred eleven thousand, seventy-two".