472914588672 has 660 divisors, whose sum is σ = 1549505103300. Its totient is φ = 143167979520.

The previous prime is 472914588631. The next prime is 472914588721. The reversal of 472914588672 is 276885419274.

It is a happy number.

472914588672 is a `hidden beast` number, since 47 + 2 + 9 + 1 + 4 + 588 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 357814526976 + 115100061696 = 598176^2 + 339264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1355055954 + ... + 1355056302.

It is an arithmetic number, because the mean of its divisors is an integer number (2347735005).

Almost surely, 2^472914588672 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 472914588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774752551650).

472914588672 is an abundant number, since it is smaller than the sum of its proper divisors (1076590514628).

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

472914588672 is a wasteful number, since it uses less digits than its factorization.

472914588672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 402 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 472914588672 in words is "four hundred seventy-two billion, nine hundred fourteen million, five hundred eighty-eight thousand, six hundred seventy-two".