6661314416364 has 192 divisors, whose sum is σ = 17081414784000. Its totient is φ = 2011071741952.

The previous prime is 6661314416363. The next prime is 6661314416377. The reversal of 6661314416364 is 4636144131666.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6661314416363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2930625532 + ... + 2930627804.

It is an arithmetic number, because the mean of its divisors is an integer number (88965702000).

Almost surely, 2^{6661314416364} 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 6661314416364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540707392000).

6661314416364 is an abundant number, since it is smaller than the sum of its proper divisors (10420100367636).

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

6661314416364 is a wasteful number, since it uses less digits than its factorization.

6661314416364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3750 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 51.

The spelling of 6661314416364 in words is "six trillion, six hundred sixty-one billion, three hundred fourteen million, four hundred sixteen thousand, three hundred sixty-four".