42683478768 has 480 divisors, whose sum is σ = 146006654976. Its totient is φ = 11820017664.

The previous prime is 42683478767. The next prime is 42683478829. The reversal of 42683478768 is 86787438624.

42683478768 is a `hidden beast` number, since 4 + 26 + 83 + 478 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42683478767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183190780 + ... + 183191012.

Almost surely, 2^42683478768 is an apocalyptic number.

42683478768 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 42683478768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73003327488).

42683478768 is an abundant number, since it is smaller than the sum of its proper divisors (103323176208).

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

42683478768 is a wasteful number, since it uses less digits than its factorization.

42683478768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 425 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 42683478768 in words is "forty-two billion, six hundred eighty-three million, four hundred seventy-eight thousand, seven hundred sixty-eight".