427158756768 has 192 divisors, whose sum is σ = 1180176117120. Its totient is φ = 135109804032.

The previous prime is 427158756763. The next prime is 427158756797. The reversal of 427158756768 is 867657851724.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 427158756699 and 427158756708.

It is not an unprimeable number, because it can be changed into a prime (427158756763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123561696 + ... + 123565152.

It is an arithmetic number, because the mean of its divisors is an integer number (6146750610).

Almost surely, 2^427158756768 is an apocalyptic number.

427158756768 is a gapful number since it is divisible by the number (48) 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 427158756768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590088058560).

427158756768 is an abundant number, since it is smaller than the sum of its proper divisors (753017360352).

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

427158756768 is a wasteful number, since it uses less digits than its factorization.

427158756768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4351 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 66.

The spelling of 427158756768 in words is "four hundred twenty-seven billion, one hundred fifty-eight million, seven hundred fifty-six thousand, seven hundred sixty-eight".