427135572864 has 2048 divisors, whose sum is σ = 1800349286400. Its totient is φ = 96148684800.

The previous prime is 427135572833. The next prime is 427135572881. The reversal of 427135572864 is 468275531724.

427135572864 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 3 + 5 + 572 + 8 + 64 = 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 427135572864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6015993949 + ... + 6015994019.

It is an arithmetic number, because the mean of its divisors is an integer number (879076800).

Almost surely, 2^427135572864 is an apocalyptic number.

427135572864 is a gapful number since it is divisible by the number (44) 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 427135572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900174643200).

427135572864 is an abundant number, since it is smaller than the sum of its proper divisors (1373213713536).

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

427135572864 is a wasteful number, since it uses less digits than its factorization.

427135572864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

It can be divided in two parts, 427135 and 572864, that added together give a palindrome (999999).

The spelling of 427135572864 in words is "four hundred twenty-seven billion, one hundred thirty-five million, five hundred seventy-two thousand, eight hundred sixty-four".