42717522960 has 320 divisors, whose sum is σ = 168358748160. Its totient is φ = 9752348160.

The previous prime is 42717522937. The next prime is 42717522971. The reversal of 42717522960 is 6922571724.

42717522960 is a `hidden beast` number, since 4 + 27 + 17 + 522 + 96 + 0 = 666.

It is a super-6 number, since 6×42717522960⁶ (a number of 65 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23329245 + ... + 23331075.

It is an arithmetic number, because the mean of its divisors is an integer number (526121088).

Almost surely, 2^42717522960 is an apocalyptic number.

42717522960 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 42717522960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84179374080).

42717522960 is an abundant number, since it is smaller than the sum of its proper divisors (125641225200).

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

42717522960 is a wasteful number, since it uses less digits than its factorization.

42717522960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 42717522960 in words is "forty-two billion, seven hundred seventeen million, five hundred twenty-two thousand, nine hundred sixty".