6422416560 has 640 divisors, whose sum is σ = 26598297600. Its totient is φ = 1393459200.

The previous prime is 6422416459. The next prime is 6422416571. The reversal of 6422416560 is 656142246.

6422416560 is a `hidden beast` number, since 64 + 2 + 24 + 16 + 560 = 666.

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 127 ways as a sum of consecutive naturals, for example, 42532485 + ... + 42532635.

It is an arithmetic number, because the mean of its divisors is an integer number (41559840).

Almost surely, 2^6422416560 is an apocalyptic number.

6422416560 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 6422416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13299148800).

6422416560 is an abundant number, since it is smaller than the sum of its proper divisors (20175881040).

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

6422416560 is a wasteful number, since it uses less digits than its factorization.

6422416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6422416560 is about 80139.9810331897. The cubic root of 6422416560 is about 1858.8006836704.

The spelling of 6422416560 in words is "six billion, four hundred twenty-two million, four hundred sixteen thousand, five hundred sixty".