6628621344 has 96 divisors (see below), whose sum is σ = 18412821504. Its totient is φ = 2083656960.

The previous prime is 6628621339. The next prime is 6628621361. The reversal of 6628621344 is 4431268266.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6628621296 and 6628621305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135627 + ... + 177909.

It is an arithmetic number, because the mean of its divisors is an integer number (191800224).

Almost surely, 2^6628621344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6628621344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206410752).

6628621344 is an abundant number, since it is smaller than the sum of its proper divisors (11784200160).

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

6628621344 is a wasteful number, since it uses less digits than its factorization.

6628621344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42390 (or 42382 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 6628621344 is about 81416.3456807047. The cubic root of 6628621344 is about 1878.4850236544.

The spelling of 6628621344 in words is "six billion, six hundred twenty-eight million, six hundred twenty-one thousand, three hundred forty-four".