306066636720 has 640 divisors, whose sum is σ = 1177394641920. Its totient is φ = 72593694720.

The previous prime is 306066636709. The next prime is 306066636727. The reversal of 306066636720 is 27636660603.

It is a super-2 number, since 2×306066636720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (306066636727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95554639 + ... + 95557841.

It is an arithmetic number, because the mean of its divisors is an integer number (1839679128).

Almost surely, 2^306066636720 is an apocalyptic number.

306066636720 is a gapful number since it is divisible by the number (30) 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 306066636720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588697320960).

306066636720 is an abundant number, since it is smaller than the sum of its proper divisors (871328005200).

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

306066636720 is a wasteful number, since it uses less digits than its factorization.

306066636720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 306066636720 in words is "three hundred six billion, sixty-six million, six hundred thirty-six thousand, seven hundred twenty".