6552726624 has 72 divisors (see below), whose sum is σ = 18643263912. Its totient is φ = 2183193600.

The previous prime is 6552726623. The next prime is 6552726673. The reversal of 6552726624 is 4266272556.

6552726624 is a `hidden beast` number, since 6 + 552 + 72 + 6 + 6 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6552726624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6552726623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802627 + ... + 810749.

It is an arithmetic number, because the mean of its divisors is an integer number (258934221).

Almost surely, 2^6552726624 is an apocalyptic number.

It is an amenable number.

6552726624 is an abundant number, since it is smaller than the sum of its proper divisors (12090537288).

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

6552726624 is a wasteful number, since it uses less digits than its factorization.

6552726624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940 (or 10929 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 6552726624 is about 80948.9136678189. The cubic root of 6552726624 is about 1871.2882183297.

The spelling of 6552726624 in words is "six billion, five hundred fifty-two million, seven hundred twenty-six thousand, six hundred twenty-four".