472777537428801 has 12 divisors (see below), whose sum is σ = 744982786251600. Its totient is φ = 286531840865880.

The previous prime is 472777537428773. The next prime is 472777537428821. The reversal of 472777537428801 is 108824735777274.

472777537428801 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 7 + 7 + 537 + 4 + 2 + 8 + 80 + 1 = 666.

It is not a de Polignac number, because 472777537428801 - 2¹³ = 472777537420609 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 472777537428801.

It is not an unprimeable number, because it can be changed into a prime (472777537428821) 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, 2387765340451 + ... + 2387765340648.

It is an arithmetic number, because the mean of its divisors is an integer number (62081898854300).

Almost surely, 2^{472777537428801} is an apocalyptic number.

It is an amenable number.

472777537428801 is a deficient number, since it is larger than the sum of its proper divisors (272205248822799).

472777537428801 is a wasteful number, since it uses less digits than its factorization.

472777537428801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775530681116 (or 4775530681113 counting only the distinct ones).

The product of its (nonzero) digits is 1032622080, while the sum is 72.

The spelling of 472777537428801 in words is "four hundred seventy-two trillion, seven hundred seventy-seven billion, five hundred thirty-seven million, four hundred twenty-eight thousand, eight hundred one".