6405940090368 has 1280 divisors, whose sum is σ = 24126955776000. Its totient is φ = 1688161886208.

The previous prime is 6405940090301. The next prime is 6405940090373. The reversal of 6405940090368 is 8630900495046.

6405940090368 is a `hidden beast` number, since 6 + 40 + 59 + 400 + 90 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4992937855 + ... + 4992939137.

It is an arithmetic number, because the mean of its divisors is an integer number (18849184200).

Almost surely, 2^{6405940090368} 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 6405940090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12063477888000).

6405940090368 is an abundant number, since it is smaller than the sum of its proper divisors (17721015685632).

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

6405940090368 is an frugal number, since it uses more digits than its factorization.

6405940090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 6405940090368 in words is "six trillion, four hundred five billion, nine hundred forty million, ninety thousand, three hundred sixty-eight".