6524872704 has 288 divisors, whose sum is σ = 22346775360. Its totient is φ = 1863254016.

The previous prime is 6524872693. The next prime is 6524872709. The reversal of 6524872704 is 4072784256.

It is a happy number.

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

It is a super-3 number, since 3×6524872704³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6524872704.

It is not an unprimeable number, because it can be changed into a prime (6524872709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3482712 + ... + 3484584.

It is an arithmetic number, because the mean of its divisors is an integer number (77592970).

Almost surely, 2^6524872704 is an apocalyptic number.

6524872704 is a gapful number since it is divisible by the number (64) 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 6524872704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173387680).

6524872704 is an abundant number, since it is smaller than the sum of its proper divisors (15821902656).

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

6524872704 is an equidigital number, since it uses as much as digits as its factorization.

6524872704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 6524872704 is about 80776.6841607156. The cubic root of 6524872704 is about 1868.6330009650.

The spelling of 6524872704 in words is "six billion, five hundred twenty-four million, eight hundred seventy-two thousand, seven hundred four".