6644141696160 has 384 divisors, whose sum is σ = 25692953448960. Its totient is φ = 1595046739968.

The previous prime is 6644141696147. The next prime is 6644141696173. The reversal of 6644141696160 is 616961414466.

6644141696160 is a `hidden beast` number, since 6 + 6 + 4 + 4 + 1 + 4 + 16 + 9 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6644141696147) and next prime (6644141696173).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6644141696097 and 6644141696106.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 277627 + ... + 3655866.

It is an arithmetic number, because the mean of its divisors is an integer number (66908732940).

Almost surely, 2^{6644141696160} is an apocalyptic number.

6644141696160 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 6644141696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846476724480).

6644141696160 is an abundant number, since it is smaller than the sum of its proper divisors (19048811752800).

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

6644141696160 is a wasteful number, since it uses less digits than its factorization.

6644141696160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933557 (or 3933543 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 6644141696160 in words is "six trillion, six hundred forty-four billion, one hundred forty-one million, six hundred ninety-six thousand, one hundred sixty".