6555648000 has 480 divisors, whose sum is σ = 24045211008. Its totient is φ = 1572864000.

The previous prime is 6555647971. The next prime is 6555648007. The reversal of 6555648000 is 8465556.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 6555648000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6555648007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67583952 + ... + 67584048.

Almost surely, 2^6555648000 is an apocalyptic number.

6555648000 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 6555648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12022605504).

6555648000 is an abundant number, since it is smaller than the sum of its proper divisors (17489563008).

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

6555648000 is an equidigital number, since it uses as much as digits as its factorization.

6555648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 6555648000 is about 80966.9562228938. The cubic root of 6555648000 is about 1871.5662666700.

The spelling of 6555648000 in words is "six billion, five hundred fifty-five million, six hundred forty-eight thousand".