42647655674624 has 288 divisors, whose sum is σ = 114797978480640. Its totient is φ = 15270819840000.

The previous prime is 42647655674587. The next prime is 42647655674627.

42647655674624 is nontrivially palindromic in base 10.

42647655674624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42647655674627) 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 31 ways as a sum of consecutive naturals, for example, 58319249 + ... + 59045999.

Almost surely, 2^{42647655674624} is an apocalyptic number.

42647655674624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42647655674624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57398989240320).

42647655674624 is an abundant number, since it is smaller than the sum of its proper divisors (72150322806016).

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

42647655674624 is a wasteful number, since it uses less digits than its factorization.

42647655674624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727027 (or 727013 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 68.

The spelling of 42647655674624 in words is "forty-two trillion, six hundred forty-seven billion, six hundred fifty-five million, six hundred seventy-four thousand, six hundred twenty-four".