8468437120 has 256 divisors, whose sum is σ = 25187863680. Its totient is φ = 2674851840.

The previous prime is 8468437067. The next prime is 8468437163. The reversal of 8468437120 is 217348648.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1553119 + ... + 1558561.

Almost surely, 2^8468437120 is an apocalyptic number.

8468437120 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 8468437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12593931840).

8468437120 is an abundant number, since it is smaller than the sum of its proper divisors (16719426560).

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

8468437120 is a wasteful number, since it uses less digits than its factorization.

8468437120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 8468437120 is about 92024.1116229872. Note that the first 3 decimals coincide. The cubic root of 8468437120 is about 2038.2983631336.

The spelling of 8468437120 in words is "eight billion, four hundred sixty-eight million, four hundred thirty-seven thousand, one hundred twenty".