42567479136 has 432 divisors, whose sum is σ = 152321773968. Its totient is φ = 11176704000.

The previous prime is 42567479111. The next prime is 42567479167. The reversal of 42567479136 is 63197476524.

42567479136 is a `hidden beast` number, since 4 + 2 + 567 + 4 + 79 + 1 + 3 + 6 = 666.

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 71 ways as a sum of consecutive naturals, for example, 60723586 + ... + 60724286.

It is an arithmetic number, because the mean of its divisors is an integer number (352596699).

Almost surely, 2^42567479136 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 42567479136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76160886984).

42567479136 is an abundant number, since it is smaller than the sum of its proper divisors (109754294832).

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

42567479136 is a wasteful number, since it uses less digits than its factorization.

42567479136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1057 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 42567479136 in words is "forty-two billion, five hundred sixty-seven million, four hundred seventy-nine thousand, one hundred thirty-six".