42647656128 has 336 divisors, whose sum is σ = 146651715840. Its totient is φ = 10694154240.

The previous prime is 42647656087. The next prime is 42647656211. The reversal of 42647656128 is 82165674624.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4711575 + ... + 4720617.

It is an arithmetic number, because the mean of its divisors is an integer number (436463440).

Almost surely, 2^42647656128 is an apocalyptic number.

42647656128 is a gapful number since it is divisible by the number (48) 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 42647656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73325857920).

42647656128 is an abundant number, since it is smaller than the sum of its proper divisors (104004059712).

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

42647656128 is a wasteful number, since it uses less digits than its factorization.

42647656128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9116 (or 9095 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 42647656128 in words is "forty-two billion, six hundred forty-seven million, six hundred fifty-six thousand, one hundred twenty-eight".