427545446328 has 1728 divisors, whose sum is σ = 1733982681600. Its totient is φ = 93744967680.

The previous prime is 427545446311. The next prime is 427545446333. The reversal of 427545446328 is 823644545724.

It is a happy number.

427545446328 is a `hidden beast` number, since 4 + 2 + 75 + 4 + 544 + 6 + 3 + 28 = 666.

Its product of digits (25804800) is a multiple of the sum of its prime divisors (175).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5856786900 + ... + 5856786972.

It is an arithmetic number, because the mean of its divisors is an integer number (1003462200).

Almost surely, 2^427545446328 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 427545446328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866991340800).

427545446328 is an abundant number, since it is smaller than the sum of its proper divisors (1306437235272).

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

427545446328 is a wasteful number, since it uses less digits than its factorization.

427545446328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 54.

The spelling of 427545446328 in words is "four hundred twenty-seven billion, five hundred forty-five million, four hundred forty-six thousand, three hundred twenty-eight".