7882497168 has 640 divisors, whose sum is σ = 28878151680. Its totient is φ = 1791590400.

The previous prime is 7882497167. The next prime is 7882497169. The reversal of 7882497168 is 8617942887.

It is an interprime number because it is at equal distance from previous prime (7882497167) and next prime (7882497169).

It is not an unprimeable number, because it can be changed into a prime (7882497167) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 52201893 + ... + 52202043.

It is an arithmetic number, because the mean of its divisors is an integer number (45122112).

Almost surely, 2^7882497168 is an apocalyptic number.

7882497168 is a gapful number since it is divisible by the number (78) 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 7882497168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14439075840).

7882497168 is an abundant number, since it is smaller than the sum of its proper divisors (20995654512).

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

7882497168 is a wasteful number, since it uses less digits than its factorization.

7882497168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 60.

The square root of 7882497168 is about 88783.4284537379. The cubic root of 7882497168 is about 1990.1597615901.

The spelling of 7882497168 in words is "seven billion, eight hundred eighty-two million, four hundred ninety-seven thousand, one hundred sixty-eight".