6504281467200 has 3024 divisors, whose sum is σ = 28565188853760. Its totient is φ = 1441110528000.

The previous prime is 6504281467171. The next prime is 6504281467207. The reversal of 6504281467200 is 27641824056.

6504281467200 is a `hidden beast` number, since 6 + 5 + 0 + 428 + 14 + 6 + 7 + 200 = 666.

It is a super-2 number, since 2×6504281467200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6504281467207) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 82332676761 + ... + 82332676839.

Almost surely, 2^{6504281467200} is an apocalyptic number.

6504281467200 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 6504281467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14282594426880).

6504281467200 is an abundant number, since it is smaller than the sum of its proper divisors (22060907386560).

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

6504281467200 is a wasteful number, since it uses less digits than its factorization.

6504281467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 6504281467200 in words is "six trillion, five hundred four billion, two hundred eighty-one million, four hundred sixty-seven thousand, two hundred".