6494528768000 has 2304 divisors, whose sum is σ = 22789990379520. Its totient is φ = 1790705664000.

The previous prime is 6494528767933. The next prime is 6494528768053. The reversal of 6494528768000 is 8678254946.

It is a happy number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 209500927985 + ... + 209500928015.

It is an arithmetic number, because the mean of its divisors is an integer number (9891488880).

Almost surely, 2^{6494528768000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6494528768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11394995189760).

6494528768000 is an abundant number, since it is smaller than the sum of its proper divisors (16295461611520).

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

6494528768000 is a wasteful number, since it uses less digits than its factorization.

6494528768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 6494528768000 in words is "six trillion, four hundred ninety-four billion, five hundred twenty-eight million, seven hundred sixty-eight thousand".