477864468774 has 192 divisors, whose sum is σ = 1306438848000. Its totient is φ = 122627520000.

The previous prime is 477864468721. The next prime is 477864468791.

477864468774 is a `hidden beast` number, since 47 + 78 + 6 + 446 + 8 + 7 + 74 = 666.

477864468774 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69849594 + ... + 69856434.

It is an arithmetic number, because the mean of its divisors is an integer number (6804369000).

Almost surely, 2^477864468774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477864468774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653219424000).

477864468774 is an abundant number, since it is smaller than the sum of its proper divisors (828574379226).

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

477864468774 is a wasteful number, since it uses less digits than its factorization.

477864468774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7467 (or 7464 counting only the distinct ones).

The product of its digits is 1416167424, while the sum is 72.

The spelling of 477864468774 in words is "four hundred seventy-seven billion, eight hundred sixty-four million, four hundred sixty-eight thousand, seven hundred seventy-four".