6573457152 has 288 divisors, whose sum is σ = 20112960000. Its totient is φ = 2143190016.

The previous prime is 6573457091. The next prime is 6573457159. The reversal of 6573457152 is 2517543756.

It is a happy number.

6573457152 is a `hidden beast` number, since 6 + 5 + 73 + 4 + 571 + 5 + 2 = 666.

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

It is a super-2 number, since 2×6573457152² = 86420677858359902208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6573457098 and 6573457107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6573457159) 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, 33032349 + ... + 33032547.

Almost surely, 2^6573457152 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 6573457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10056480000).

6573457152 is an abundant number, since it is smaller than the sum of its proper divisors (13539502848).

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

6573457152 is an frugal number, since it uses more digits than its factorization.

6573457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 263 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 6573457152 is about 81076.8595346416. The cubic root of 6573457152 is about 1873.2595074256.

The spelling of 6573457152 in words is "six billion, five hundred seventy-three million, four hundred fifty-seven thousand, one hundred fifty-two".