7743066668640 has 144 divisors (see below), whose sum is σ = 27977521860288. Its totient is φ = 1943357902848.

The previous prime is 7743066668609. The next prime is 7743066668677. The reversal of 7743066668640 is 468666603477.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 158126392 + ... + 158175351.

It is an arithmetic number, because the mean of its divisors is an integer number (194288346252).

Almost surely, 2^{7743066668640} is an apocalyptic number.

It is an amenable number.

7743066668640 is an abundant number, since it is smaller than the sum of its proper divisors (20234455191648).

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

7743066668640 is a wasteful number, since it uses less digits than its factorization.

7743066668640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316301781 (or 316301770 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 7743066668640 in words is "seven trillion, seven hundred forty-three billion, sixty-six million, six hundred sixty-eight thousand, six hundred forty".