427284568800 has 288 divisors, whose sum is σ = 1636249960800. Its totient is φ = 107239956480.

The previous prime is 427284568787. The next prime is 427284568807. The reversal of 427284568800 is 8865482724.

427284568800 is a `hidden beast` number, since 4 + 2 + 72 + 8 + 4 + 568 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427284568807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214615 + ... + 949014.

It is an arithmetic number, because the mean of its divisors is an integer number (5681423475).

Almost surely, 2^427284568800 is an apocalyptic number.

427284568800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427284568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818124980400).

427284568800 is an abundant number, since it is smaller than the sum of its proper divisors (1208965392000).

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

427284568800 is a wasteful number, since it uses less digits than its factorization.

427284568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163675 (or 1163656 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 427284568800 in words is "four hundred twenty-seven billion, two hundred eighty-four million, five hundred sixty-eight thousand, eight hundred".