6772303269648 has 640 divisors, whose sum is σ = 24603425280000. Its totient is φ = 1740037386240.

The previous prime is 6772303269647. The next prime is 6772303269649. The reversal of 6772303269648 is 8469623032776.

6772303269648 is a `hidden beast` number, since 6 + 7 + 7 + 2 + 303 + 269 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6772303269647) and next prime (6772303269649).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6772303269647) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 87121903 + ... + 87199601.

It is an arithmetic number, because the mean of its divisors is an integer number (38442852000).

Almost surely, 2^{6772303269648} 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 6772303269648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301712640000).

6772303269648 is an abundant number, since it is smaller than the sum of its proper divisors (17831122010352).

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

6772303269648 is a wasteful number, since it uses less digits than its factorization.

6772303269648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77820 (or 77808 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 6772303269648 in words is "six trillion, seven hundred seventy-two billion, three hundred three million, two hundred sixty-nine thousand, six hundred forty-eight".