6552006720 has 448 divisors, whose sum is σ = 25513076736. Its totient is φ = 1390510080.

The previous prime is 6552006709. The next prime is 6552006749. The reversal of 6552006720 is 276002556.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9481575 + ... + 9482265.

It is an arithmetic number, because the mean of its divisors is an integer number (56948832).

Almost surely, 2^6552006720 is an apocalyptic number.

6552006720 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 6552006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756538368).

6552006720 is an abundant number, since it is smaller than the sum of its proper divisors (18961070016).

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

6552006720 is a wasteful number, since it uses less digits than its factorization.

6552006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 6552006720 is about 80944.4668893433. The cubic root of 6552006720 is about 1871.2196872032.

The spelling of 6552006720 in words is "six billion, five hundred fifty-two million, six thousand, seven hundred twenty".