6656120064000 has 1152 divisors, whose sum is σ = 26335472042880. Its totient is φ = 1603584000000.

The previous prime is 6656120063987. The next prime is 6656120064019. The reversal of 6656120064000 is 4600216566.

It is a happy number.

6656120064000 is a `hidden beast` number, since 6 + 6 + 5 + 6 + 1 + 2 + 0 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 4587263275 + ... + 4587264725.

It is an arithmetic number, because the mean of its divisors is an integer number (22860652815).

Almost surely, 2^{6656120064000} is an apocalyptic number.

6656120064000 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 6656120064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167736021440).

6656120064000 is an abundant number, since it is smaller than the sum of its proper divisors (19679351978880).

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

6656120064000 is a wasteful number, since it uses less digits than its factorization.

6656120064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 6656120064000 in words is "six trillion, six hundred fifty-six billion, one hundred twenty million, sixty-four thousand".