30066371600 has 90 divisors (see below), whose sum is σ = 73125651690. Its totient is φ = 11878479360.

The previous prime is 30066371593. The next prime is 30066371623. The reversal of 30066371600 is 617366003.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 216207616 + 29850163984 = 14704^2 + 172772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32715941 + ... + 32716859.

It is an arithmetic number, because the mean of its divisors is an integer number (812507241).

Almost surely, 2^30066371600 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 30066371600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36562825845).

30066371600 is an abundant number, since it is smaller than the sum of its proper divisors (43059280090).

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

30066371600 is an frugal number, since it uses more digits than its factorization.

30066371600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The spelling of 30066371600 in words is "thirty billion, sixty-six million, three hundred seventy-one thousand, six hundred".