6668460529200 has 1440 divisors, whose sum is σ = 26445182400000. Its totient is φ = 1607146168320.

The previous prime is 6668460529147. The next prime is 6668460529217. The reversal of 6668460529200 is 29250648666.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 4766590101 + ... + 4766591499.

It is an arithmetic number, because the mean of its divisors is an integer number (18364710000).

Almost surely, 2^{6668460529200} is an apocalyptic number.

6668460529200 is a gapful number since it is divisible by the number (60) 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 6668460529200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222591200000).

6668460529200 is an abundant number, since it is smaller than the sum of its proper divisors (19776721870800).

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

6668460529200 is a wasteful number, since it uses less digits than its factorization.

6668460529200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 6668460529200 in words is "six trillion, six hundred sixty-eight billion, four hundred sixty million, five hundred twenty-nine thousand, two hundred".