42767012448 has 432 divisors, whose sum is σ = 135701879040. Its totient is φ = 13226976000.

The previous prime is 42767012447. The next prime is 42767012461. The reversal of 42767012448 is 84421076724.

42767012448 is a `hidden beast` number, since 427 + 67 + 0 + 124 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42767012441) 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, 283225173 + ... + 283225323.

It is an arithmetic number, because the mean of its divisors is an integer number (314124720).

Almost surely, 2^42767012448 is an apocalyptic number.

42767012448 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 42767012448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67850939520).

42767012448 is an abundant number, since it is smaller than the sum of its proper divisors (92934866592).

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

42767012448 is an equidigital number, since it uses as much as digits as its factorization.

42767012448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 42767012448 in words is "forty-two billion, seven hundred sixty-seven million, twelve thousand, four hundred forty-eight".