3066370560 has 640 divisors, whose sum is σ = 12315283200. Its totient is φ = 716636160.

The previous prime is 3066370553. The next prime is 3066370609. The reversal of 3066370560 is 650736603.

3066370560 is a `hidden beast` number, since 3 + 0 + 66 + 37 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3066370560² = 18805256822469427200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 28131786 + ... + 28131894.

It is an arithmetic number, because the mean of its divisors is an integer number (19242630).

Almost surely, 2^3066370560 is an apocalyptic number.

3066370560 is a gapful number since it is divisible by the number (30) 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 3066370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157641600).

3066370560 is an abundant number, since it is smaller than the sum of its proper divisors (9248912640).

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

3066370560 is a wasteful number, since it uses less digits than its factorization.

3066370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3066370560 is about 55374.8188258887. The cubic root of 3066370560 is about 1452.8079650504.

The spelling of 3066370560 in words is "three billion, sixty-six million, three hundred seventy thousand, five hundred sixty".