6628736526048 has 1152 divisors, whose sum is σ = 25448576025600. Its totient is φ = 1648227336192.

The previous prime is 6628736526047. The next prime is 6628736526059. The reversal of 6628736526048 is 8406256378266.

It is a happy number.

6628736526048 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 7 + 365 + 260 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6628736526047) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3078836140 + ... + 3078838292.

It is an arithmetic number, because the mean of its divisors is an integer number (22090777800).

Almost surely, 2^{6628736526048} 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 6628736526048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12724288012800).

6628736526048 is an abundant number, since it is smaller than the sum of its proper divisors (18819839499552).

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

6628736526048 is a wasteful number, since it uses less digits than its factorization.

6628736526048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 6628736526048 in words is "six trillion, six hundred twenty-eight billion, seven hundred thirty-six million, five hundred twenty-six thousand, forty-eight".