42319788768 has 240 divisors, whose sum is σ = 130832634240. Its totient is φ = 13393569024.

The previous prime is 42319788767. The next prime is 42319788821. The reversal of 42319788768 is 86788791324.

42319788768 is a `hidden beast` number, since 423 + 1 + 9 + 78 + 87 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42319788767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8284071 + ... + 8289177.

It is an arithmetic number, because the mean of its divisors is an integer number (545135976).

Almost surely, 2^42319788768 is an apocalyptic number.

42319788768 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 42319788768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65416317120).

42319788768 is an abundant number, since it is smaller than the sum of its proper divisors (88512845472).

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

42319788768 is a wasteful number, since it uses less digits than its factorization.

42319788768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291 (or 5274 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 42319788768 in words is "forty-two billion, three hundred nineteen million, seven hundred eighty-eight thousand, seven hundred sixty-eight".