427739590168 has 128 divisors (see below), whose sum is σ = 929329459200. Its totient is φ = 182798553600.

The previous prime is 427739590123. The next prime is 427739590177. The reversal of 427739590168 is 861095937724.

It is a super-2 number, since 2×427739590168² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12071838 + ... + 12107218.

It is an arithmetic number, because the mean of its divisors is an integer number (7260386400).

It is a 1-persistent number, because it is pandigital, but 2⋅427739590168 = 855479180336 is not.

Almost surely, 2^427739590168 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 427739590168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464664729600).

427739590168 is an abundant number, since it is smaller than the sum of its proper divisors (501589869032).

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

427739590168 is a wasteful number, since it uses less digits than its factorization.

427739590168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35561 (or 35557 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 427739590168 in words is "four hundred twenty-seven billion, seven hundred thirty-nine million, five hundred ninety thousand, one hundred sixty-eight".