6540293320704 has 2184 divisors, whose sum is σ = 24934376042352. Its totient is φ = 1689350307840.

The previous prime is 6540293320669. The next prime is 6540293320727. The reversal of 6540293320704 is 4070233920456.

6540293320704 is a `hidden beast` number, since 6 + 5 + 402 + 9 + 33 + 207 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6540293320704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 123401760742 + ... + 123401760794.

Almost surely, 2^{6540293320704} is an apocalyptic number.

6540293320704 is a gapful number since it is divisible by the number (64) 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 6540293320704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467188021176).

6540293320704 is an abundant number, since it is smaller than the sum of its proper divisors (18394082721648).

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

6540293320704 is a wasteful number, since it uses less digits than its factorization.

6540293320704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 6540293320704 in words is "six trillion, five hundred forty billion, two hundred ninety-three million, three hundred twenty thousand, seven hundred four".