7868966745600 has 720 divisors, whose sum is σ = 30921936213168. Its totient is φ = 1974943088640.

The previous prime is 7868966745599. The next prime is 7868966745613. The reversal of 7868966745600 is 65476698687.

7868966745600 is a `hidden beast` number, since 7 + 8 + 6 + 8 + 9 + 6 + 6 + 7 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 52802392 + ... + 52951208.

Almost surely, 2^{7868966745600} 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 7868966745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460968106584).

7868966745600 is an abundant number, since it is smaller than the sum of its proper divisors (23052969467568).

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

7868966745600 is a wasteful number, since it uses less digits than its factorization.

7868966745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148877 (or 148844 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 7868966745600 in words is "seven trillion, eight hundred sixty-eight billion, nine hundred sixty-six million, seven hundred forty-five thousand, six hundred".