42668635865856 has 2304 divisors, whose sum is σ = 161627592720384. Its totient is φ = 9638092800000.

The previous prime is 42668635865839. The next prime is 42668635865897. The reversal of 42668635865856 is 65856853686624.

It is a super-2 number, since 2×42668635865856² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 255500813485 + ... + 255500813651.

It is an arithmetic number, because the mean of its divisors is an integer number (70150864896).

Almost surely, 2^{42668635865856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42668635865856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80813796360192).

42668635865856 is an abundant number, since it is smaller than the sum of its proper divisors (118958956854528).

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

42668635865856 is a wasteful number, since it uses less digits than its factorization.

42668635865856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its digits is 11943936000, while the sum is 78.

The spelling of 42668635865856 in words is "forty-two trillion, six hundred sixty-eight billion, six hundred thirty-five million, eight hundred sixty-five thousand, eight hundred fifty-six".