6648445440000 has 3120 divisors, whose sum is σ = 31038050144640. Its totient is φ = 1393459200000.

The previous prime is 6648445439989. The next prime is 6648445440023. The reversal of 6648445440000 is 445448466.

6648445440000 is a `hidden beast` number, since 6 + 64 + 8 + 44 + 544 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 44029439925 + ... + 44029440075.

Almost surely, 2^{6648445440000} is an apocalyptic number.

6648445440000 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 6648445440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519025072320).

6648445440000 is an abundant number, since it is smaller than the sum of its proper divisors (24389604704640).

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

6648445440000 is a wasteful number, since it uses less digits than its factorization.

6648445440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 6648445440000 in words is "six trillion, six hundred forty-eight billion, four hundred forty-five million, four hundred forty thousand".