42016874568768 has 280 divisors, whose sum is σ = 137193197718720. Its totient is φ = 12608769070080.

The previous prime is 42016874568763. The next prime is 42016874568833. The reversal of 42016874568768 is 86786547861024.

42016874568768 is a `hidden beast` number, since 4 + 2 + 0 + 16 + 87 + 456 + 87 + 6 + 8 = 666.

It is a super-2 number, since 2×42016874568768² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42016874568696 and 42016874568705.

It is not an unprimeable number, because it can be changed into a prime (42016874568763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2296638 + ... + 9450306.

Almost surely, 2^{42016874568768} is an apocalyptic number.

42016874568768 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 42016874568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68596598859360).

42016874568768 is an abundant number, since it is smaller than the sum of its proper divisors (95176323149952).

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

42016874568768 is a wasteful number, since it uses less digits than its factorization.

42016874568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153807 (or 7153788 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 42016874568768 in words is "forty-two trillion, sixteen billion, eight hundred seventy-four million, five hundred sixty-eight thousand, seven hundred sixty-eight".