6512704000000 has 819 divisors, whose sum is σ = 18532380223903. Its totient is φ = 2286592000000.

The previous prime is 6512703999959. The next prime is 6512704000027. The reversal of 6512704000000 is 4072156.

The square root of 6512704000000 is 2552000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 5518966165504 + 993737834496 = 2349248^2 + 996864^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 224575999986 + ... + 224576000014.

Almost surely, 2^{6512704000000} is an apocalyptic number.

6512704000000 is the 2552000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6512704000000

6512704000000 is an abundant number, since it is smaller than the sum of its proper divisors (12019676223903).

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

6512704000000 is an frugal number, since it uses more digits than its factorization.

6512704000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Multiplying 6512704000000 by its sum of digits (25), we get a square (162817600000000 = 12760000²).

6512704000000 divided by its sum of digits (25) gives a square (260508160000 = 510400²).

Adding to 6512704000000 its reverse (4072156), we get a palindrome (6512708072156).

The spelling of 6512704000000 in words is "six trillion, five hundred twelve billion, seven hundred four million", and thus it is an aban number.