6601343590400 has 672 divisors, whose sum is σ = 18373382465760. Its totient is φ = 2335891783680.

The previous prime is 6601343590381. The next prime is 6601343590553. The reversal of 6601343590400 is 40953431066.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14901452579 + ... + 14901453021.

It is an arithmetic number, because the mean of its divisors is an integer number (27341342955).

Almost surely, 2^{6601343590400} 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 6601343590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186691232880).

6601343590400 is an abundant number, since it is smaller than the sum of its proper divisors (11772038875360).

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

6601343590400 is a wasteful number, since it uses less digits than its factorization.

6601343590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 6601343590400 in words is "six trillion, six hundred one billion, three hundred forty-three million, five hundred ninety thousand, four hundred".