477927918468 has 1728 divisors, whose sum is σ = 1873892966400. Its totient is φ = 99358617600.

The previous prime is 477927918407. The next prime is 477927918493. The reversal of 477927918468 is 864819729774.

477927918468 is a `hidden beast` number, since 4 + 7 + 7 + 92 + 79 + 1 + 8 + 468 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 477927918396 and 477927918405.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5369976568 + ... + 5369976656.

It is an arithmetic number, because the mean of its divisors is an integer number (1084428800).

Almost surely, 2^477927918468 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 477927918468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936946483200).

477927918468 is an abundant number, since it is smaller than the sum of its proper divisors (1395965047932).

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

477927918468 is a wasteful number, since it uses less digits than its factorization.

477927918468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its digits is 341397504, while the sum is 72.

The spelling of 477927918468 in words is "four hundred seventy-seven billion, nine hundred twenty-seven million, nine hundred eighteen thousand, four hundred sixty-eight".