427056218784 has 384 divisors, whose sum is σ = 1368624660480. Its totient is φ = 128760855552.

The previous prime is 427056218783. The next prime is 427056218803. The reversal of 427056218784 is 487812650724.

427056218784 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 5 + 621 + 8 + 7 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 427056218784.

It is not an unprimeable number, because it can be changed into a prime (427056218783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118394709 + ... + 118398315.

It is an arithmetic number, because the mean of its divisors is an integer number (3564126720).

Almost surely, 2^427056218784 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 427056218784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684312330240).

427056218784 is an abundant number, since it is smaller than the sum of its proper divisors (941568441696).

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

427056218784 is a wasteful number, since it uses less digits than its factorization.

427056218784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 427056218784 in words is "four hundred twenty-seven billion, fifty-six million, two hundred eighteen thousand, seven hundred eighty-four".