6498319275000 has 1152 divisors, whose sum is σ = 27540768528000. Its totient is φ = 1349591040000.

The previous prime is 6498319274963. The next prime is 6498319275059. The reversal of 6498319275000 is 5729138946.

6498319275000 is a `hidden beast` number, since 6 + 49 + 8 + 3 + 1 + 92 + 7 + 500 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 776470816 + ... + 776479184.

It is an arithmetic number, because the mean of its divisors is an integer number (23906917125).

It is a 1-persistent number, because it is pandigital, but 2⋅6498319275000 = 12996638550000 is not.

Almost surely, 2^{6498319275000} is an apocalyptic number.

6498319275000 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 6498319275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770384264000).

6498319275000 is an abundant number, since it is smaller than the sum of its proper divisors (21042449253000).

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

6498319275000 is a wasteful number, since it uses less digits than its factorization.

6498319275000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8459 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 6498319275000 in words is "six trillion, four hundred ninety-eight billion, three hundred nineteen million, two hundred seventy-five thousand".