56673180306 has 64 divisors (see below), whose sum is σ = 127668710400. Its totient is φ = 18633379968.

The previous prime is 56673180301. The next prime is 56673180359. The reversal of 56673180306 is 60308137665.

56673180306 is a `hidden beast` number, since 566 + 7 + 3 + 1 + 80 + 3 + 0 + 6 = 666.

56673180306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56673180301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290990 + ... + 1334166.

It is an arithmetic number, because the mean of its divisors is an integer number (1994823600).

Almost surely, 2^56673180306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56673180306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63834355200).

56673180306 is an abundant number, since it is smaller than the sum of its proper divisors (70995530094).

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

56673180306 is a wasteful number, since it uses less digits than its factorization.

56673180306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43520 (or 43514 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 56673180306 in words is "fifty-six billion, six hundred seventy-three million, one hundred eighty thousand, three hundred six".