6442522320 has 160 divisors (see below), whose sum is σ = 21861350784. Its totient is φ = 1559808000.

The previous prime is 6442522319. The next prime is 6442522357. The reversal of 6442522320 is 232252446.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173395 + ... + 207245.

Almost surely, 2^6442522320 is an apocalyptic number.

6442522320 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 6442522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10930675392).

6442522320 is an abundant number, since it is smaller than the sum of its proper divisors (15418828464).

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

6442522320 is a wasteful number, since it uses less digits than its factorization.

6442522320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33941 (or 33935 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 6442522320 is about 80265.3245181255. The cubic root of 6442522320 is about 1860.7383587244.

Adding to 6442522320 its reverse (232252446), we get a palindrome (6674774766).

The spelling of 6442522320 in words is "six billion, four hundred forty-two million, five hundred twenty-two thousand, three hundred twenty".