6740097758208 has 352 divisors, whose sum is σ = 20182293331200. Its totient is φ = 2221871726592.

The previous prime is 6740097758167. The next prime is 6740097758213. The reversal of 6740097758208 is 8028577900476.

6740097758208 is a `hidden beast` number, since 6 + 7 + 40 + 0 + 9 + 7 + 7 + 582 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1571482528 + ... + 1571486816.

It is an arithmetic number, because the mean of its divisors is an integer number (57336060600).

Almost surely, 2^{6740097758208} 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 6740097758208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10091146665600).

6740097758208 is an abundant number, since it is smaller than the sum of its proper divisors (13442195572992).

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

6740097758208 is a wasteful number, since it uses less digits than its factorization.

6740097758208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 6740097758208 in words is "six trillion, seven hundred forty billion, ninety-seven million, seven hundred fifty-eight thousand, two hundred eight".