42664533546624 has 128 divisors (see below), whose sum is σ = 124854244896960. Its totient is φ = 12800640000000.

The previous prime is 42664533546559. The next prime is 42664533546643.

42664533546624 is nontrivially palindromic in base 10.

42664533546624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49575877 + ... + 50429124.

Almost surely, 2^{42664533546624} is an apocalyptic number.

42664533546624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42664533546624 is an abundant number, since it is smaller than the sum of its proper divisors (82189711350336).

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

42664533546624 is a wasteful number, since it uses less digits than its factorization.

42664533546624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100005130 (or 100005118 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 60.

The spelling of 42664533546624 in words is "forty-two trillion, six hundred sixty-four billion, five hundred thirty-three million, five hundred forty-six thousand, six hundred twenty-four".