6611865120 has 288 divisors, whose sum is σ = 25856288640. Its totient is φ = 1507184640.

The previous prime is 6611865077. The next prime is 6611865133. The reversal of 6611865120 is 215681166.

6611865120 is a `hidden beast` number, since 6 + 61 + 1 + 86 + 512 + 0 = 666.

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

It is a super-2 number, since 2×6611865120² = 87433520730145228800, which contains 22 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5251051 + ... + 5252309.

It is an arithmetic number, because the mean of its divisors is an integer number (89778780).

Almost surely, 2^6611865120 is an apocalyptic number.

6611865120 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 6611865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928144320).

6611865120 is an abundant number, since it is smaller than the sum of its proper divisors (19244423520).

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

6611865120 is a wasteful number, since it uses less digits than its factorization.

6611865120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6611865120 is about 81313.3760214148. The cubic root of 6611865120 is about 1876.9008392476.

The spelling of 6611865120 in words is "six billion, six hundred eleven million, eight hundred sixty-five thousand, one hundred twenty".