7666285326336 has 1040 divisors, whose sum is σ = 29099145822208. Its totient is φ = 1956416716800.

The previous prime is 7666285326331. The next prime is 7666285326373. The reversal of 7666285326336 is 6336235826667.

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 (7666285326331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 935936001 + ... + 935944191.

Almost surely, 2^{7666285326336} 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 7666285326336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549572911104).

7666285326336 is an abundant number, since it is smaller than the sum of its proper divisors (21432860495872).

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

7666285326336 is a wasteful number, since it uses less digits than its factorization.

7666285326336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8247 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 63.

The spelling of 7666285326336 in words is "seven trillion, six hundred sixty-six billion, two hundred eighty-five million, three hundred twenty-six thousand, three hundred thirty-six".