6543472320 has 672 divisors, whose sum is σ = 29556334080. Its totient is φ = 1287290880.

The previous prime is 6543472291. The next prime is 6543472321. The reversal of 6543472320 is 232743456.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6543472321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4212664 + ... + 4214216.

It is an arithmetic number, because the mean of its divisors is an integer number (43982640).

Almost surely, 2^6543472320 is an apocalyptic number.

6543472320 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 6543472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14778167040).

6543472320 is an abundant number, since it is smaller than the sum of its proper divisors (23012861760).

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

6543472320 is a wasteful number, since it uses less digits than its factorization.

6543472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 6543472320 is about 80891.7320867838. The cubic root of 6543472320 is about 1870.4068738233.

The spelling of 6543472320 in words is "six billion, five hundred forty-three million, four hundred seventy-two thousand, three hundred twenty".