6771923653264 has 675 divisors, whose sum is σ = 18127612616393. Its totient is φ = 2448236313600.

The previous prime is 6771923653223. The next prime is 6771923653307. The reversal of 6771923653264 is 4623563291776.

The square root of 6771923653264 is 2602292.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5272258899600 + 1499664753664 = 2296140^2 + 1224608^2 .

Its product of digits (68584320) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 95379206349 + ... + 95379206419.

Almost surely, 2^{6771923653264} is an apocalyptic number.

6771923653264 is the 2602292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6771923653264

6771923653264 is an abundant number, since it is smaller than the sum of its proper divisors (11355688963129).

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

6771923653264 is an equidigital number, since it uses as much as digits as its factorization.

6771923653264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 108 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 61.

The spelling of 6771923653264 in words is "six trillion, seven hundred seventy-one billion, nine hundred twenty-three million, six hundred fifty-three thousand, two hundred sixty-four".