42648084624 has 40 divisors (see below), whose sum is σ = 110789739360. Its totient is φ = 14136606208.

The previous prime is 42648084613. The next prime is 42648084629.

42648084624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42648084629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2473257 + ... + 2490440.

It is an arithmetic number, because the mean of its divisors is an integer number (2769743484).

Almost surely, 2^42648084624 is an apocalyptic number.

It is an amenable number.

42648084624 is an abundant number, since it is smaller than the sum of its proper divisors (68141654736).

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

42648084624 is a wasteful number, since it uses less digits than its factorization.

42648084624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963887 (or 4963881 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 42648084624 in words is "forty-two billion, six hundred forty-eight million, eighty-four thousand, six hundred twenty-four".