6644421463680 has 3072 divisors, whose sum is σ = 32556316262400. Its totient is φ = 1245659627520.

The previous prime is 6644421463643. The next prime is 6644421463697. The reversal of 6644421463680 is 863641244466.

6644421463680 is a `hidden beast` number, since 6 + 64 + 4 + 4 + 214 + 6 + 368 + 0 = 666.

It is a super-2 number, since 2×6644421463680² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8942693389 + ... + 8942694131.

It is an arithmetic number, because the mean of its divisors is an integer number (10597759200).

Almost surely, 2^{6644421463680} is an apocalyptic number.

6644421463680 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 6644421463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16278158131200).

6644421463680 is an abundant number, since it is smaller than the sum of its proper divisors (25911894798720).

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

6644421463680 is a wasteful number, since it uses less digits than its factorization.

6644421463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 6644421463680 in words is "six trillion, six hundred forty-four billion, four hundred twenty-one million, four hundred sixty-three thousand, six hundred eighty".