305672636304 has 320 divisors, whose sum is σ = 1070102937600. Its totient is φ = 81548716032.

The previous prime is 305672636303. The next prime is 305672636327. The reversal of 305672636304 is 403636276503.

305672636304 is a `hidden beast` number, since 3 + 0 + 5 + 6 + 7 + 2 + 6 + 3 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 305672636304.

It is not an unprimeable number, because it can be changed into a prime (305672636303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6505407 + ... + 6552225.

It is an arithmetic number, because the mean of its divisors is an integer number (3344071680).

Almost surely, 2^305672636304 is an apocalyptic number.

305672636304 is a gapful number since it is divisible by the number (34) 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 305672636304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535051468800).

305672636304 is an abundant number, since it is smaller than the sum of its proper divisors (764430301296).

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

305672636304 is a wasteful number, since it uses less digits than its factorization.

305672636304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46987 (or 46975 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 305672636304 in words is "three hundred five billion, six hundred seventy-two million, six hundred thirty-six thousand, three hundred four".