6252573600 has 576 divisors, whose sum is σ = 27840718080. Its totient is φ = 1318809600.

The previous prime is 6252573577. The next prime is 6252573629. The reversal of 6252573600 is 63752526.

It is a happy number.

6252573600 is a `hidden beast` number, since 6 + 2 + 525 + 73 + 60 + 0 = 666.

It is a super-3 number, since 3×6252573600³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1964010 + ... + 1967190.

It is an arithmetic number, because the mean of its divisors is an integer number (48334580).

Almost surely, 2^6252573600 is an apocalyptic number.

6252573600 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 6252573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920359040).

6252573600 is an abundant number, since it is smaller than the sum of its proper divisors (21588144480).

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

6252573600 is a wasteful number, since it uses less digits than its factorization.

6252573600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 6252573600 is about 79073.2167045201. The cubic root of 6252573600 is about 1842.2685472504.

The spelling of 6252573600 in words is "six billion, two hundred fifty-two million, five hundred seventy-three thousand, six hundred".