6422405760 has 320 divisors, whose sum is σ = 23078305800. Its totient is φ = 1702010880.

The previous prime is 6422405747. The next prime is 6422405771. The reversal of 6422405760 is 675042246.

6422405760 is a `hidden beast` number, since 6 + 42 + 2 + 40 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6013071936 + 409333824 = 77544^2 + 20232^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11871090 + ... + 11871630.

Almost surely, 2^6422405760 is an apocalyptic number.

6422405760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6422405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11539152900).

6422405760 is an abundant number, since it is smaller than the sum of its proper divisors (16655900040).

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

6422405760 is a wasteful number, since it uses less digits than its factorization.

6422405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6422405760 is about 80139.9136510640. The cubic root of 6422405760 is about 1858.7996417438.

The spelling of 6422405760 in words is "six billion, four hundred twenty-two million, four hundred five thousand, seven hundred sixty".