8338704480 has 144 divisors (see below), whose sum is σ = 29117808720. Its totient is φ = 2171925504.

The previous prime is 8338704461. The next prime is 8338704481. The reversal of 8338704480 is 844078338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8338704481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5415 + ... + 129254.

It is an arithmetic number, because the mean of its divisors is an integer number (202207005).

Almost surely, 2^8338704480 is an apocalyptic number.

8338704480 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 8338704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558904360).

8338704480 is an abundant number, since it is smaller than the sum of its proper divisors (20779104240).

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

8338704480 is a wasteful number, since it uses less digits than its factorization.

8338704480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134733 (or 134722 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8338704480 is about 91316.5071605348. The cubic root of 8338704480 is about 2027.8361502953.

The spelling of 8338704480 in words is "eight billion, three hundred thirty-eight million, seven hundred four thousand, four hundred eighty".