6645627360 has 288 divisors, whose sum is σ = 23828732928. Its totient is φ = 1683348480.

The previous prime is 6645627349. The next prime is 6645627361. The reversal of 6645627360 is 637265466.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6645627361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5397945 + ... + 5399175.

It is an arithmetic number, because the mean of its divisors is an integer number (82738656).

Almost surely, 2^6645627360 is an apocalyptic number.

6645627360 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 6645627360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914366464).

6645627360 is an abundant number, since it is smaller than the sum of its proper divisors (17183105568).

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

6645627360 is a wasteful number, since it uses less digits than its factorization.

6645627360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 6645627360 is about 81520.7173668142. The cubic root of 6645627360 is about 1880.0900967837.

The spelling of 6645627360 in words is "six billion, six hundred forty-five million, six hundred twenty-seven thousand, three hundred sixty".