42568475976 has 288 divisors, whose sum is σ = 133565173560. Its totient is φ = 12169377792.

The previous prime is 42568475947. The next prime is 42568475977. The reversal of 42568475976 is 67957486524.

42568475976 is a `hidden beast` number, since 42 + 56 + 8 + 475 + 9 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31830128100 + 10738347876 = 178410^2 + 103626^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42568475977) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 17907300 + ... + 17909676.

Almost surely, 2^42568475976 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 42568475976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66782586780).

42568475976 is an abundant number, since it is smaller than the sum of its proper divisors (90996697584).

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

42568475976 is a wasteful number, since it uses less digits than its factorization.

42568475976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2467 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 42568475976 in words is "forty-two billion, five hundred sixty-eight million, four hundred seventy-five thousand, nine hundred seventy-six".