42517706568480 has 2304 divisors, whose sum is σ = 189199082741760. Its totient is φ = 8531155353600.

The previous prime is 42517706568451. The next prime is 42517706568487. The reversal of 42517706568480 is 8486560771524.

42517706568480 is a `hidden beast` number, since 4 + 2 + 517 + 70 + 6 + 5 + 6 + 8 + 48 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (42517706568487) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8728740445 + ... + 8728745315.

It is an arithmetic number, because the mean of its divisors is an integer number (82117657440).

Almost surely, 2^{42517706568480} is an apocalyptic number.

42517706568480 is a gapful number since it is divisible by the number (40) 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 42517706568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94599541370880).

42517706568480 is an abundant number, since it is smaller than the sum of its proper divisors (146681376173280).

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

42517706568480 is a wasteful number, since it uses less digits than its factorization.

42517706568480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 42517706568480 in words is "forty-two trillion, five hundred seventeen billion, seven hundred six million, five hundred sixty-eight thousand, four hundred eighty".