6671095454016 has 1008 divisors, whose sum is σ = 24502300804800. Its totient is φ = 1788170452992.

The previous prime is 6671095453993. The next prime is 6671095454017. The reversal of 6671095454016 is 6104545901766.

6671095454016 is a `hidden beast` number, since 6 + 6 + 7 + 1 + 0 + 95 + 4 + 540 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6671095454017) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5428067290 + ... + 5428068518.

It is an arithmetic number, because the mean of its divisors is an integer number (24307838100).

Almost surely, 2^{6671095454016} 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 6671095454016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12251150402400).

6671095454016 is an abundant number, since it is smaller than the sum of its proper divisors (17831205350784).

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

6671095454016 is a wasteful number, since it uses less digits than its factorization.

6671095454016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 6671095454016 in words is "six trillion, six hundred seventy-one billion, ninety-five million, four hundred fifty-four thousand, sixteen".