306542668704 has 288 divisors, whose sum is σ = 867201140736. Its totient is φ = 94691773440.

The previous prime is 306542668693. The next prime is 306542668709. The reversal of 306542668704 is 407866245603.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (306542668709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272967087 + ... + 272968209.

It is an arithmetic number, because the mean of its divisors is an integer number (3011115072).

Almost surely, 2^306542668704 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 306542668704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433600570368).

306542668704 is an abundant number, since it is smaller than the sum of its proper divisors (560658472032).

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

306542668704 is a wasteful number, since it uses less digits than its factorization.

306542668704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 306542668704 in words is "three hundred six billion, five hundred forty-two million, six hundred sixty-eight thousand, seven hundred four".