6066945360 has 400 divisors, whose sum is σ = 24289195392. Its totient is φ = 1374796800.

The previous prime is 6066945349. The next prime is 6066945373. The reversal of 6066945360 is 635496606.

6066945360 is a `hidden beast` number, since 606 + 6 + 9 + 4 + 5 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5941650 + ... + 5942670.

Almost surely, 2^6066945360 is an apocalyptic number.

6066945360 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 6066945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12144597696).

6066945360 is an abundant number, since it is smaller than the sum of its proper divisors (18222250032).

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

6066945360 is a wasteful number, since it uses less digits than its factorization.

6066945360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 6066945360 is about 77890.5986624830. The cubic root of 6066945360 is about 1823.8538231194.

The spelling of 6066945360 in words is "six billion, sixty-six million, nine hundred forty-five thousand, three hundred sixty".