472428746827677 has 12 divisors (see below), whose sum is σ = 722538083383740. Its totient is φ = 296425880362368.

The previous prime is 472428746827651. The next prime is 472428746827759. The reversal of 472428746827677 is 776728647824274.

472428746827677 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 2 + 87 + 468 + 2 + 7 + 6 + 77 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 367774435082916 + 104654311744761 = 19177446^2 + 10230069^2 .

It is not a de Polignac number, because 472428746827677 - 2⁷ = 472428746827549 is a prime.

It is a super-2 number, since 2×472428746827677² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (81) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 472428746827596 and 472428746827605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472428746827627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1543884793402 + ... + 1543884793707.

It is an arithmetic number, because the mean of its divisors is an integer number (60211506948645).

Almost surely, 2^{472428746827677} is an apocalyptic number.

It is an amenable number.

472428746827677 is a deficient number, since it is larger than the sum of its proper divisors (250109336556063).

472428746827677 is a wasteful number, since it uses less digits than its factorization.

472428746827677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087769587132 (or 3087769587129 counting only the distinct ones).

The product of its digits is 19826343936, while the sum is 81.

The spelling of 472428746827677 in words is "four hundred seventy-two trillion, four hundred twenty-eight billion, seven hundred forty-six million, eight hundred twenty-seven thousand, six hundred seventy-seven".