6628340880 has 240 divisors, whose sum is σ = 25555745280. Its totient is φ = 1508170752.

The previous prime is 6628340879. The next prime is 6628340897. The reversal of 6628340880 is 880438266.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 1151289 + ... + 1157031.

It is an arithmetic number, because the mean of its divisors is an integer number (106482272).

Almost surely, 2^6628340880 is an apocalyptic number.

6628340880 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 6628340880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777872640).

6628340880 is an abundant number, since it is smaller than the sum of its proper divisors (18927404400).

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

6628340880 is a wasteful number, since it uses less digits than its factorization.

6628340880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6628340880 is about 81414.6232565133. The cubic root of 6628340880 is about 1878.4585297161.

The spelling of 6628340880 in words is "six billion, six hundred twenty-eight million, three hundred forty thousand, eight hundred eighty".