306408807666 has 160 divisors (see below), whose sum is σ = 789572044800. Its totient is φ = 88091660160.

The previous prime is 306408807659. The next prime is 306408807667. The reversal of 306408807666 is 666708804603.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (306408807667) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1812375 + ... + 1974213.

It is an arithmetic number, because the mean of its divisors is an integer number (4934825280).

Almost surely, 2^306408807666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306408807666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394786022400).

306408807666 is an abundant number, since it is smaller than the sum of its proper divisors (483163237134).

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

306408807666 is a wasteful number, since it uses less digits than its factorization.

306408807666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161926 (or 161917 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 306408807666 in words is "three hundred six billion, four hundred eight million, eight hundred seven thousand, six hundred sixty-six".