8412880000 has 320 divisors, whose sum is σ = 24357453120. Its totient is φ = 2833920000.

The previous prime is 8412879997. The next prime is 8412880013. The reversal of 8412880000 is 882148.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46479910 + ... + 46480090.

It is an arithmetic number, because the mean of its divisors is an integer number (76117041).

Almost surely, 2^8412880000 is an apocalyptic number.

8412880000 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 8412880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12178726560).

8412880000 is an abundant number, since it is smaller than the sum of its proper divisors (15944573120).

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

8412880000 is an equidigital number, since it uses as much as digits as its factorization.

8412880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 8412880000 is about 91721.7531450419. The cubic root of 8412880000 is about 2033.8311659884.

The spelling of 8412880000 in words is "eight billion, four hundred twelve million, eight hundred eighty thousand".