7168806666000 has 1280 divisors, whose sum is σ = 31277483827200. Its totient is φ = 1552217126400.

The previous prime is 7168806665989. The next prime is 7168806666013. The reversal of 7168806666000 is 6666088617.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 581735839 + ... + 581748161.

It is an arithmetic number, because the mean of its divisors is an integer number (24435534240).

Almost surely, 2^{7168806666000} is an apocalyptic number.

7168806666000 is a gapful number since it is divisible by the number (70) 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 7168806666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15638741913600).

7168806666000 is an abundant number, since it is smaller than the sum of its proper divisors (24108677161200).

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

7168806666000 is a wasteful number, since it uses less digits than its factorization.

7168806666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12393 (or 12359 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 7168806666000 in words is "seven trillion, one hundred sixty-eight billion, eight hundred six million, six hundred sixty-six thousand".