472677737364 has 108 divisors (see below), whose sum is σ = 1390861745364. Its totient is φ = 134957104128.

The previous prime is 472677737353. The next prime is 472677737383. The reversal of 472677737364 is 463737776274.

472677737364 is a `hidden beast` number, since 4 + 7 + 267 + 7 + 7 + 3 + 7 + 364 = 666.

472677737364 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 240401934864 + 232275802500 = 490308^2 + 481950^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2470884 + ... + 2655300.

Almost surely, 2^472677737364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472677737364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695430872682).

472677737364 is an abundant number, since it is smaller than the sum of its proper divisors (918184008000).

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

472677737364 is a wasteful number, since it uses less digits than its factorization.

472677737364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185894 (or 185882 counting only the distinct ones).

The product of its digits is 174254976, while the sum is 63.

The spelling of 472677737364 in words is "four hundred seventy-two billion, six hundred seventy-seven million, seven hundred thirty-seven thousand, three hundred sixty-four".