306006066432 has 504 divisors, whose sum is σ = 1042659672768. Its totient is φ = 88683724800.

The previous prime is 306006066419. The next prime is 306006066439. The reversal of 306006066432 is 234660600603.

306006066432 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 0 + 6 + 0 + 6 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306006066439) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 47212632 + ... + 47219112.

It is an arithmetic number, because the mean of its divisors is an integer number (2068769192).

Almost surely, 2^306006066432 is an apocalyptic number.

306006066432 is a gapful number since it is divisible by the number (32) 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 306006066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521329836384).

306006066432 is an abundant number, since it is smaller than the sum of its proper divisors (736653606336).

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

306006066432 is an equidigital number, since it uses as much as digits as its factorization.

306006066432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 306006066432 in words is "three hundred six billion, six million, sixty-six thousand, four hundred thirty-two".