6443152320 has 448 divisors, whose sum is σ = 24886310400. Its totient is φ = 1391984640.

The previous prime is 6443152319. The next prime is 6443152321. The reversal of 6443152320 is 232513446.

It is an interprime number because it is at equal distance from previous prime (6443152319) and next prime (6443152321).

It is a super-3 number, since 3×6443152320³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6443152321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3409936 + ... + 3411824.

It is an arithmetic number, because the mean of its divisors is an integer number (55549800).

Almost surely, 2^6443152320 is an apocalyptic number.

6443152320 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 6443152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443155200).

6443152320 is an abundant number, since it is smaller than the sum of its proper divisors (18443158080).

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

6443152320 is a wasteful number, since it uses less digits than its factorization.

6443152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 6443152320 is about 80269.2489064150. The cubic root of 6443152320 is about 1860.7990092429.

Adding to 6443152320 its reverse (232513446), we get a palindrome (6675665766).

The spelling of 6443152320 in words is "six billion, four hundred forty-three million, one hundred fifty-two thousand, three hundred twenty".