6618050667648 has 1536 divisors, whose sum is σ = 25540669440000. Its totient is φ = 1600248545280.

The previous prime is 6618050667643. The next prime is 6618050667659. The reversal of 6618050667648 is 8467660508166.

6618050667648 is a `hidden beast` number, since 6 + 6 + 1 + 8 + 0 + 506 + 67 + 64 + 8 = 666.

It is a super-2 number, since 2×6618050667648² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6618050667643) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3168046188 + ... + 3168048276.

It is an arithmetic number, because the mean of its divisors is an integer number (16628040000).

Almost surely, 2^{6618050667648} 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 6618050667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12770334720000).

6618050667648 is an abundant number, since it is smaller than the sum of its proper divisors (18922618772352).

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

6618050667648 is a wasteful number, since it uses less digits than its factorization.

6618050667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 6618050667648 in words is "six trillion, six hundred eighteen billion, fifty million, six hundred sixty-seven thousand, six hundred forty-eight".