6423382560 has 288 divisors, whose sum is σ = 23841941760. Its totient is φ = 1449197568.

The previous prime is 6423382549. The next prime is 6423382571. The reversal of 6423382560 is 652833246.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6423382549) and next prime (6423382571).

It is a super-2 number, since 2×6423382560² = 82519687024224307200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1856352 + ... + 1859808.

It is an arithmetic number, because the mean of its divisors is an integer number (82784520).

Almost surely, 2^6423382560 is an apocalyptic number.

6423382560 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 6423382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920970880).

6423382560 is an abundant number, since it is smaller than the sum of its proper divisors (17418559200).

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

6423382560 is a wasteful number, since it uses less digits than its factorization.

6423382560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 6423382560 is about 80146.0077608361. The cubic root of 6423382560 is about 1858.8938734858.

The spelling of 6423382560 in words is "six billion, four hundred twenty-three million, three hundred eighty-two thousand, five hundred sixty".