6573601152 has 192 divisors, whose sum is σ = 20452489200. Its totient is φ = 2019520512.

The previous prime is 6573601141. The next prime is 6573601159. The reversal of 6573601152 is 2511063756.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6573601159) 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 23 ways as a sum of consecutive naturals, for example, 805798 + ... + 813914.

Almost surely, 2^6573601152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6573601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10226244600).

6573601152 is an abundant number, since it is smaller than the sum of its proper divisors (13878888048).

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

6573601152 is a wasteful number, since it uses less digits than its factorization.

6573601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8193 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 6573601152 is about 81077.7475760150. The cubic root of 6573601152 is about 1873.2731860421.

The spelling of 6573601152 in words is "six billion, five hundred seventy-three million, six hundred one thousand, one hundred fifty-two".