6480321775200 has 2304 divisors, whose sum is σ = 29944083456000. Its totient is φ = 1343643033600.

The previous prime is 6480321775133. The next prime is 6480321775243. The reversal of 6480321775200 is 25771230846.

6480321775200 is a `hidden beast` number, since 6 + 4 + 80 + 32 + 17 + 7 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5875177849 + ... + 5875178951.

It is an arithmetic number, because the mean of its divisors is an integer number (12996564000).

Almost surely, 2^{6480321775200} is an apocalyptic number.

6480321775200 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 6480321775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14972041728000).

6480321775200 is an abundant number, since it is smaller than the sum of its proper divisors (23463761680800).

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

6480321775200 is a wasteful number, since it uses less digits than its factorization.

6480321775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 6480321775200 in words is "six trillion, four hundred eighty billion, three hundred twenty-one million, seven hundred seventy-five thousand, two hundred".