477724262976 has 189 divisors, whose sum is σ = 1416431208153. Its totient is φ = 153938718720.

The previous prime is 477724262971. The next prime is 477724262999. The reversal of 477724262976 is 679262427774.

The square root of 477724262976 is 691176.

It is a perfect power (a square), and thus also a powerful number.

477724262976 is a `hidden beast` number, since 4 + 77 + 72 + 426 + 2 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9211392576 + 468512870400 = 95976^2 + 684480^2 .

It is not an unprimeable number, because it can be changed into a prime (477724262971) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 514234480 + ... + 514235408.

Almost surely, 2^477724262976 is an apocalyptic number.

477724262976 is the 691176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477724262976

477724262976 is an abundant number, since it is smaller than the sum of its proper divisors (938706945177).

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

477724262976 is an frugal number, since it uses more digits than its factorization.

477724262976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 965 counting only the distinct ones).

The product of its digits is 99574272, while the sum is 63.

The spelling of 477724262976 in words is "four hundred seventy-seven billion, seven hundred twenty-four million, two hundred sixty-two thousand, nine hundred seventy-six".