8342436960 has 864 divisors, whose sum is σ = 35135493120. Its totient is φ = 1788272640.

The previous prime is 8342436859. The next prime is 8342436997. The reversal of 8342436960 is 696342438.

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, 65688417 + ... + 65688543.

It is an arithmetic number, because the mean of its divisors is an integer number (40666080).

Almost surely, 2^8342436960 is an apocalyptic number.

8342436960 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 8342436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17567746560).

8342436960 is an abundant number, since it is smaller than the sum of its proper divisors (26793056160).

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

8342436960 is a wasteful number, since it uses less digits than its factorization.

8342436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 8342436960 is about 91336.9419238459. The cubic root of 8342436960 is about 2028.1386644679.

The spelling of 8342436960 in words is "eight billion, three hundred forty-two million, four hundred thirty-six thousand, nine hundred sixty".