6640111206400 has 720 divisors, whose sum is σ = 19392401862400. Its totient is φ = 2254307328000.

The previous prime is 6640111206371. The next prime is 6640111206511. The reversal of 6640111206400 is 46021110466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21214412644 + ... + 21214412956.

Almost surely, 2^{6640111206400} 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 6640111206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696200931200).

6640111206400 is an abundant number, since it is smaller than the sum of its proper divisors (12752290656000).

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

6640111206400 is an equidigital number, since it uses as much as digits as its factorization.

6640111206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 6640111206400 its reverse (46021110466), we get a palindrome (6686132316866).

The spelling of 6640111206400 in words is "six trillion, six hundred forty billion, one hundred eleven million, two hundred six thousand, four hundred".