472406160672 has 36 divisors (see below), whose sum is σ = 1343405020230. Its totient is φ = 157468720128.

The previous prime is 472406160599. The next prime is 472406160689. The reversal of 472406160672 is 276061604274.

472406160672 is a `hidden beast` number, since 4 + 7 + 24 + 0 + 616 + 0 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 350658202896 + 121747957776 = 592164^2 + 348924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 820149297 + ... + 820149872.

Almost surely, 2^472406160672 is an apocalyptic number.

It is an amenable number.

472406160672 is an abundant number, since it is smaller than the sum of its proper divisors (870998859558).

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

472406160672 is a wasteful number, since it uses less digits than its factorization.

472406160672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640299185 (or 1640299174 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 472406160672 in words is "four hundred seventy-two billion, four hundred six million, one hundred sixty thousand, six hundred seventy-two".