6009657120 has 288 divisors, whose sum is σ = 21500204544. Its totient is φ = 1525708800.

The previous prime is 6009657119. The next prime is 6009657127. The reversal of 6009657120 is 217569006.

6009657120 is a `hidden beast` number, since 60 + 0 + 9 + 6 + 571 + 20 = 666.

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

It is a super-2 number, since 2×6009657120² = 72231957399933388800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6009657127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13943305 + ... + 13943735.

It is an arithmetic number, because the mean of its divisors is an integer number (74653488).

Almost surely, 2^6009657120 is an apocalyptic number.

6009657120 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 6009657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750102272).

6009657120 is an abundant number, since it is smaller than the sum of its proper divisors (15490547424).

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

6009657120 is a wasteful number, since it uses less digits than its factorization.

6009657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 6009657120 is about 77521.9783029303. The cubic root of 6009657120 is about 1818.0949675726.

The spelling of 6009657120 in words is "six billion, nine million, six hundred fifty-seven thousand, one hundred twenty".