8442616260 has 192 divisors, whose sum is σ = 26546817024. Its totient is φ = 1990656000.

The previous prime is 8442616223. The next prime is 8442616307. The reversal of 8442616260 is 626162448.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2440452 + ... + 2443908.

It is an arithmetic number, because the mean of its divisors is an integer number (138264672).

Almost surely, 2^8442616260 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 8442616260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273408512).

8442616260 is an abundant number, since it is smaller than the sum of its proper divisors (18104200764).

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

8442616260 is a wasteful number, since it uses less digits than its factorization.

8442616260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 8442616260 is about 91883.7105258598. The cubic root of 8442616260 is about 2036.2246157111.

The spelling of 8442616260 in words is "eight billion, four hundred forty-two million, six hundred sixteen thousand, two hundred sixty".