6648656958720 has 1728 divisors, whose sum is σ = 29037541478400. Its totient is φ = 1369571328000.

The previous prime is 6648656958719. The next prime is 6648656958733. The reversal of 6648656958720 is 278596568466.

6648656958720 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 6 + 569 + 58 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4292224506 + ... + 4292226054.

It is an arithmetic number, because the mean of its divisors is an integer number (16804132800).

Almost surely, 2^{6648656958720} is an apocalyptic number.

6648656958720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6648656958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14518770739200).

6648656958720 is an abundant number, since it is smaller than the sum of its proper divisors (22388884519680).

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

6648656958720 is a wasteful number, since it uses less digits than its factorization.

6648656958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 6648656958720 in words is "six trillion, six hundred forty-eight billion, six hundred fifty-six million, nine hundred fifty-eight thousand, seven hundred twenty".