6646224960 has 336 divisors, whose sum is σ = 23929092096. Its totient is φ = 1755758592.

The previous prime is 6646224931. The next prime is 6646224961. The reversal of 6646224960 is 694226466.

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

It is not an unprimeable number, because it can be changed into a prime (6646224961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9875184 + ... + 9875856.

It is an arithmetic number, because the mean of its divisors is an integer number (71217536).

Almost surely, 2^6646224960 is an apocalyptic number.

6646224960 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 6646224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964546048).

6646224960 is an abundant number, since it is smaller than the sum of its proper divisors (17282867136).

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

6646224960 is a wasteful number, since it uses less digits than its factorization.

6646224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 6646224960 is about 81524.3826103577. The cubic root of 6646224960 is about 1880.1464500370.

The spelling of 6646224960 in words is "six billion, six hundred forty-six million, two hundred twenty-four thousand, nine hundred sixty".