6417378404800 has 168 divisors, whose sum is σ = 17229667587840. Its totient is φ = 2333134003200.

The previous prime is 6417378404779. The next prime is 6417378404813. The reversal of 6417378404800 is 84048737146.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97101367 + ... + 97167433.

Almost surely, 2^{6417378404800} 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 6417378404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8614833793920).

6417378404800 is an abundant number, since it is smaller than the sum of its proper divisors (10812289183040).

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

6417378404800 is a wasteful number, since it uses less digits than its factorization.

6417378404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71619 (or 71604 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 6417378404800 in words is "six trillion, four hundred seventeen billion, three hundred seventy-eight million, four hundred four thousand, eight hundred".