6668364512000 has 288 divisors, whose sum is σ = 17963190685440. Its totient is φ = 2457020006400.

The previous prime is 6668364511981. The next prime is 6668364512053. The reversal of 6668364512000 is 2154638666.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25437596 + ... + 25698404.

It is an arithmetic number, because the mean of its divisors is an integer number (62372189880).

Almost surely, 2^{6668364512000} 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 6668364512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981595342720).

6668364512000 is an abundant number, since it is smaller than the sum of its proper divisors (11294826173440).

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

6668364512000 is a wasteful number, since it uses less digits than its factorization.

6668364512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260904 (or 260880 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 6668364512000 in words is "six trillion, six hundred sixty-eight billion, three hundred sixty-four million, five hundred twelve thousand".