8340480000 has 420 divisors, whose sum is σ = 30273261018. Its totient is φ = 2211840000.

The previous prime is 8340479969. The next prime is 8340480019. The reversal of 8340480000 is 840438.

It can be written as a sum of positive squares in 5 ways, for example, as 437981184 + 7902498816 = 20928^2 + 88896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46079910 + ... + 46080090.

Almost surely, 2^8340480000 is an apocalyptic number.

8340480000 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 8340480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15136630509).

8340480000 is an abundant number, since it is smaller than the sum of its proper divisors (21932781018).

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

8340480000 is an equidigital number, since it uses as much as digits as its factorization.

8340480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8340480000 is about 91326.2284341142. The cubic root of 8340480000 is about 2027.9800658615.

The spelling of 8340480000 in words is "eight billion, three hundred forty million, four hundred eighty thousand".