6618461446080 has 1008 divisors, whose sum is σ = 25637963000832. Its totient is φ = 1565235302400.

The previous prime is 6618461446049. The next prime is 6618461446081. The reversal of 6618461446080 is 806441648166.

6618461446080 is a `hidden beast` number, since 6 + 6 + 1 + 8 + 461 + 44 + 60 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6618461446081) 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, 8041872549 + ... + 8041873371.

It is an arithmetic number, because the mean of its divisors is an integer number (25434487104).

Almost surely, 2^{6618461446080} is an apocalyptic number.

6618461446080 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 6618461446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818981500416).

6618461446080 is an abundant number, since it is smaller than the sum of its proper divisors (19019501554752).

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

6618461446080 is a wasteful number, since it uses less digits than its factorization.

6618461446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 6618461446080 in words is "six trillion, six hundred eighteen billion, four hundred sixty-one million, four hundred forty-six thousand, eighty".