42724535777 has 24 divisors (see below), whose sum is σ = 53804760576. Its totient is φ = 33208560000.

The previous prime is 42724535759. The next prime is 42724535807. The reversal of 42724535777 is 77753542724.

It is not a de Polignac number, because 42724535777 - 2²⁰ = 42723487201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42724535747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276752 + ... + 402542.

It is an arithmetic number, because the mean of its divisors is an integer number (2241865024).

Almost surely, 2^42724535777 is an apocalyptic number.

It is an amenable number.

42724535777 is a deficient number, since it is larger than the sum of its proper divisors (11080224799).

42724535777 is a wasteful number, since it uses less digits than its factorization.

42724535777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126221 (or 126210 counting only the distinct ones).

The product of its digits is 11524800, while the sum is 53.

The spelling of 42724535777 in words is "forty-two billion, seven hundred twenty-four million, five hundred thirty-five thousand, seven hundred seventy-seven".