42517678896 has 360 divisors, whose sum is σ = 155023744512. Its totient is φ = 11042697600.

The previous prime is 42517678891. The next prime is 42517678913. The reversal of 42517678896 is 69887671524.

42517678896 is a `hidden beast` number, since 42 + 517 + 6 + 78 + 8 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42517678891) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3286681 + ... + 3299591.

Almost surely, 2^42517678896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42517678896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77511872256).

42517678896 is an abundant number, since it is smaller than the sum of its proper divisors (112506065616).

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

42517678896 is a wasteful number, since it uses less digits than its factorization.

42517678896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12963 (or 12934 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 42517678896 in words is "forty-two billion, five hundred seventeen million, six hundred seventy-eight thousand, eight hundred ninety-six".