6422567760 has 480 divisors, whose sum is σ = 25857511680. Its totient is φ = 1451188224.

The previous prime is 6422567699. The next prime is 6422567761. The reversal of 6422567760 is 677652246.

6422567760 is a `hidden beast` number, since 6 + 4 + 22 + 567 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6422567761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14832504 + ... + 14832936.

It is an arithmetic number, because the mean of its divisors is an integer number (53869816).

Almost surely, 2^6422567760 is an apocalyptic number.

6422567760 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 6422567760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928755840).

6422567760 is an abundant number, since it is smaller than the sum of its proper divisors (19434943920).

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

6422567760 is a wasteful number, since it uses less digits than its factorization.

6422567760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 6422567760 is about 80140.9243769998. The cubic root of 6422567760 is about 1858.8152705192.

The spelling of 6422567760 in words is "six billion, four hundred twenty-two million, five hundred sixty-seven thousand, seven hundred sixty".