6663396933666 has 288 divisors, whose sum is σ = 16730500773168. Its totient is φ = 1913155200000.

The previous prime is 6663396933569. The next prime is 6663396933667.

6663396933666 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 6099027883641 + 564369050025 = 2469621^2 + 751245^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6663396933594 and 6663396933603.

It is not an unprimeable number, because it can be changed into a prime (6663396933667) 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, 496483636 + ... + 496497056.

Almost surely, 2^{6663396933666} is an apocalyptic number.

6663396933666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6663396933666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8365250386584).

6663396933666 is an abundant number, since it is smaller than the sum of its proper divisors (10067103839502).

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

6663396933666 is a wasteful number, since it uses less digits than its factorization.

6663396933666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13650 (or 13636 counting only the distinct ones).

The product of its digits is 1836660096, while the sum is 72.

The spelling of 6663396933666 in words is "six trillion, six hundred sixty-three billion, three hundred ninety-six million, nine hundred thirty-three thousand, six hundred sixty-six".