6608025600 has 288 divisors, whose sum is σ = 23837224320. Its totient is φ = 1601536000.

The previous prime is 6608025587. The next prime is 6608025623. The reversal of 6608025600 is 65208066.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1687645 + ... + 1691555.

It is an arithmetic number, because the mean of its divisors is an integer number (82768140).

Almost surely, 2^6608025600 is an apocalyptic number.

6608025600 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 6608025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918612160).

6608025600 is an abundant number, since it is smaller than the sum of its proper divisors (17229198720).

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

6608025600 is a wasteful number, since it uses less digits than its factorization.

6608025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 6608025600 is about 81289.7631931598. The cubic root of 6608025600 is about 1876.5374625224.

The spelling of 6608025600 in words is "six billion, six hundred eight million, twenty-five thousand, six hundred".