6066412573000 has 128 divisors (see below), whose sum is σ = 15295267260000. Its totient is φ = 2238747571200.

The previous prime is 6066412572973. The next prime is 6066412573007. The reversal of 6066412573000 is 3752146606.

It can be written as a sum of positive squares in 16 ways, for example, as 1479011093316 + 4587401479684 = 1216146^2 + 2141822^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6066412573007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25217286 + ... + 25456714.

Almost surely, 2^{6066412573000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066412573000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647633630000).

6066412573000 is an abundant number, since it is smaller than the sum of its proper divisors (9228854687000).

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

6066412573000 is a wasteful number, since it uses less digits than its factorization.

6066412573000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241412 (or 241398 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 6066412573000 in words is "six trillion, sixty-six billion, four hundred twelve million, five hundred seventy-three thousand".