6066056040 has 128 divisors (see below), whose sum is σ = 19876147200. Its totient is φ = 1468811520.

The previous prime is 6066056027. The next prime is 6066056153. The reversal of 6066056040 is 406506606.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 6066055992 and 6066056010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369269 + ... + 1373691.

It is an arithmetic number, because the mean of its divisors is an integer number (155282400).

Almost surely, 2^6066056040 is an apocalyptic number.

6066056040 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 6066056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938073600).

6066056040 is an abundant number, since it is smaller than the sum of its proper divisors (13810091160).

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

6066056040 is a wasteful number, since it uses less digits than its factorization.

6066056040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 6066056040 is about 77884.8896770099. The cubic root of 6066056040 is about 1823.7647025463.

The spelling of 6066056040 in words is "six billion, sixty-six million, fifty-six thousand, forty", and thus it is an eban number.