6627329280 has 864 divisors, whose sum is σ = 28123804800. Its totient is φ = 1473085440.

The previous prime is 6627329243. The next prime is 6627329287. The reversal of 6627329280 is 829237266.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6627329287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44478646 + ... + 44478794.

It is an arithmetic number, because the mean of its divisors is an integer number (32550700).

Almost surely, 2^6627329280 is an apocalyptic number.

6627329280 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 6627329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061902400).

6627329280 is an abundant number, since it is smaller than the sum of its proper divisors (21496475520).

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

6627329280 is a wasteful number, since it uses less digits than its factorization.

6627329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6627329280 is about 81408.4103763241. The cubic root of 6627329280 is about 1878.3629630496.

The spelling of 6627329280 in words is "six billion, six hundred twenty-seven million, three hundred twenty-nine thousand, two hundred eighty".