7666879219200 has 480 divisors, whose sum is σ = 28320617260320. Its totient is φ = 2031464448000.

The previous prime is 7666879219193. The next prime is 7666879219201. The reversal of 7666879219200 is 29129786667.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7666879219201) 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 47 ways as a sum of consecutive naturals, for example, 54188550 + ... + 54329850.

It is an arithmetic number, because the mean of its divisors is an integer number (59001285959).

Almost surely, 2^{7666879219200} 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 7666879219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160308630160).

7666879219200 is an abundant number, since it is smaller than the sum of its proper divisors (20653738041120).

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

7666879219200 is a wasteful number, since it uses less digits than its factorization.

7666879219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141495 (or 141468 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 7666879219200 in words is "seven trillion, six hundred sixty-six billion, eight hundred seventy-nine million, two hundred nineteen thousand, two hundred".