42060636072 has 960 divisors, whose sum is σ = 161290483200. Its totient is φ = 10111288320.

The previous prime is 42060636031. The next prime is 42060636073. The reversal of 42060636072 is 27063606024.

It is a happy number.

42060636072 is a `hidden beast` number, since 42 + 0 + 6 + 0 + 6 + 3 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42060636073) 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 239 ways as a sum of consecutive naturals, for example, 243124978 + ... + 243125150.

It is an arithmetic number, because the mean of its divisors is an integer number (168010920).

Almost surely, 2^42060636072 is an apocalyptic number.

42060636072 is a gapful number since it is divisible by the number (42) 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 42060636072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80645241600).

42060636072 is an abundant number, since it is smaller than the sum of its proper divisors (119229847128).

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

42060636072 is a wasteful number, since it uses less digits than its factorization.

42060636072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 42060636072 in words is "forty-two billion, sixty million, six hundred thirty-six thousand, seventy-two".