6605625600 has 864 divisors, whose sum is σ = 28549283840. Its totient is φ = 1463132160.

The previous prime is 6605625581. The next prime is 6605625623. The reversal of 6605625600 is 65265066.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52012737 + ... + 52012863.

Almost surely, 2^6605625600 is an apocalyptic number.

6605625600 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 6605625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274641920).

6605625600 is an abundant number, since it is smaller than the sum of its proper divisors (21943658240).

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

6605625600 is a wasteful number, since it uses less digits than its factorization.

6605625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6605625600 is about 81274.9998462012. Note that the first 3 decimals coincide. The cubic root of 6605625600 is about 1876.3102521810.

The spelling of 6605625600 in words is "six billion, six hundred five million, six hundred twenty-five thousand, six hundred".