6626605440 has 1024 divisors, whose sum is σ = 29018787840. Its totient is φ = 1245708288.

The previous prime is 6626605411. The next prime is 6626605451. The reversal of 6626605440 is 445066266.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68315472 + ... + 68315568.

It is an arithmetic number, because the mean of its divisors is an integer number (28338660).

Almost surely, 2^6626605440 is an apocalyptic number.

6626605440 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 6626605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509393920).

6626605440 is an abundant number, since it is smaller than the sum of its proper divisors (22392182400).

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

6626605440 is a wasteful number, since it uses less digits than its factorization.

6626605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 6626605440 is about 81403.9645226201. The cubic root of 6626605440 is about 1878.2945753330.

The spelling of 6626605440 in words is "six billion, six hundred twenty-six million, six hundred five thousand, four hundred forty".