6740611099768 has 288 divisors, whose sum is σ = 16582416379200. Its totient is φ = 2545890310656.

The previous prime is 6740611099757. The next prime is 6740611099787. The reversal of 6740611099768 is 8679901160476.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1652513553 + ... + 1652517631.

It is an arithmetic number, because the mean of its divisors is an integer number (57577834650).

Almost surely, 2^{6740611099768} 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 6740611099768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8291208189600).

6740611099768 is an abundant number, since it is smaller than the sum of its proper divisors (9841805279432).

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

6740611099768 is a wasteful number, since it uses less digits than its factorization.

6740611099768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 64.

The spelling of 6740611099768 in words is "six trillion, seven hundred forty billion, six hundred eleven million, ninety-nine thousand, seven hundred sixty-eight".