7066800648000 has 336 divisors, whose sum is σ = 25345921124160. Its totient is φ = 1879500672000.

The previous prime is 7066800647993. The next prime is 7066800648023. The reversal of 7066800648000 is 8460086607.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27158515 + ... + 27417485.

It is an arithmetic number, because the mean of its divisors is an integer number (75434289060).

Almost surely, 2^{7066800648000} 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 7066800648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672960562080).

7066800648000 is an abundant number, since it is smaller than the sum of its proper divisors (18279120476160).

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

7066800648000 is a wasteful number, since it uses less digits than its factorization.

7066800648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259383 (or 259360 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 7066800648000 in words is "seven trillion, sixty-six billion, eight hundred million, six hundred forty-eight thousand".