427723668432 has 120 divisors (see below), whose sum is σ = 1210722905600. Its totient is φ = 140953063680.

The previous prime is 427723668373. The next prime is 427723668443. The reversal of 427723668432 is 234866327724.

427723668432 is a `hidden beast` number, since 4 + 277 + 2 + 366 + 8 + 4 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4451457 + ... + 4546527.

Almost surely, 2^427723668432 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 427723668432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605361452800).

427723668432 is an abundant number, since it is smaller than the sum of its proper divisors (782999237168).

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

427723668432 is a wasteful number, since it uses less digits than its factorization.

427723668432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95441 (or 95432 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 427723668432 in words is "four hundred twenty-seven billion, seven hundred twenty-three million, six hundred sixty-eight thousand, four hundred thirty-two".