6442287360 has 576 divisors, whose sum is σ = 23364391680. Its totient is φ = 1504706560.

The previous prime is 6442287359. The next prime is 6442287361. The reversal of 6442287360 is 637822446.

It is an interprime number because it is at equal distance from previous prime (6442287359) and next prime (6442287361).

It is not an unprimeable number, because it can be changed into a prime (6442287361) 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 63 ways as a sum of consecutive naturals, for example, 77617879 + ... + 77617961.

It is an arithmetic number, because the mean of its divisors is an integer number (40563180).

Almost surely, 2^6442287360 is an apocalyptic number.

6442287360 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 6442287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682195840).

6442287360 is an abundant number, since it is smaller than the sum of its proper divisors (16922104320).

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

6442287360 is a wasteful number, since it uses less digits than its factorization.

6442287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 6442287360 is about 80263.8608590442. The cubic root of 6442287360 is about 1860.7157379568.

The spelling of 6442287360 in words is "six billion, four hundred forty-two million, two hundred eighty-seven thousand, three hundred sixty".