42761378067984 has 60 divisors (see below), whose sum is σ = 120117346958700. Its totient is φ = 14200804599552.

The previous prime is 42761378067983. The next prime is 42761378068039. The reversal of 42761378067984 is 48976087316724.

42761378067984 is a `hidden beast` number, since 4 + 276 + 137 + 80 + 6 + 79 + 84 = 666.

42761378067984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6025414627584 + 36735963440400 = 2454672^2 + 6061020^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (42761378067983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551920399 + ... + 551997870.

It is an arithmetic number, because the mean of its divisors is an integer number (2001955782645).

Almost surely, 2^{42761378067984} is an apocalyptic number.

It is an amenable number.

42761378067984 is an abundant number, since it is smaller than the sum of its proper divisors (77355968890716).

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

42761378067984 is a wasteful number, since it uses less digits than its factorization.

42761378067984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103918552 (or 1103918543 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 42761378067984 in words is "forty-two trillion, seven hundred sixty-one billion, three hundred seventy-eight million, sixty-seven thousand, nine hundred eighty-four".