6609723120 has 800 divisors, whose sum is σ = 30853025280. Its totient is φ = 1266554880.

The previous prime is 6609723089. The next prime is 6609723157. The reversal of 6609723120 is 213279066.

6609723120 is a `hidden beast` number, since 6 + 609 + 7 + 23 + 1 + 20 = 666.

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 159 ways as a sum of consecutive naturals, for example, 6485971 + ... + 6486989.

Almost surely, 2^6609723120 is an apocalyptic number.

6609723120 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 6609723120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15426512640).

6609723120 is an abundant number, since it is smaller than the sum of its proper divisors (24243302160).

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

6609723120 is a wasteful number, since it uses less digits than its factorization.

6609723120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6609723120 is about 81300.2036897817. The cubic root of 6609723120 is about 1876.6981351821.

The spelling of 6609723120 in words is "six billion, six hundred nine million, seven hundred twenty-three thousand, one hundred twenty".