8242842960 has 720 divisors, whose sum is σ = 33777570240. Its totient is φ = 1832025600.

The previous prime is 8242842919. The next prime is 8242843009. The reversal of 8242842960 is 692482428.

8242842960 is a `hidden beast` number, since 82 + 4 + 284 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 265898145 + ... + 265898175.

It is an arithmetic number, because the mean of its divisors is an integer number (46913292).

Almost surely, 2^8242842960 is an apocalyptic number.

8242842960 is a gapful number since it is divisible by the number (80) 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 8242842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16888785120).

8242842960 is an abundant number, since it is smaller than the sum of its proper divisors (25534727280).

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

8242842960 is a wasteful number, since it uses less digits than its factorization.

8242842960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8242842960 is about 90790.1038660051. The cubic root of 8242842960 is about 2020.0355318391.

The spelling of 8242842960 in words is "eight billion, two hundred forty-two million, eight hundred forty-two thousand, nine hundred sixty".