6406393817600 has 480 divisors, whose sum is σ = 18355281436800. Its totient is φ = 2170537574400.

The previous prime is 6406393817521. The next prime is 6406393817617. The reversal of 6406393817600 is 67183936046.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3157413386 + ... + 3157415414.

It is an arithmetic number, because the mean of its divisors is an integer number (38240169660).

Almost surely, 2^{6406393817600} 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 6406393817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177640718400).

6406393817600 is an abundant number, since it is smaller than the sum of its proper divisors (11948887619200).

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

6406393817600 is a wasteful number, since it uses less digits than its factorization.

6406393817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 53.

The spelling of 6406393817600 in words is "six trillion, four hundred six billion, three hundred ninety-three million, eight hundred seventeen thousand, six hundred".