8241670080 has 896 divisors, whose sum is σ = 35581132800. Its totient is φ = 1755758592.

The previous prime is 8241670079. The next prime is 8241670097. The reversal of 8241670080 is 800761428.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64894977 + ... + 64895103.

Almost surely, 2^8241670080 is an apocalyptic number.

8241670080 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 8241670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790566400).

8241670080 is an abundant number, since it is smaller than the sum of its proper divisors (27339462720).

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

8241670080 is a wasteful number, since it uses less digits than its factorization.

8241670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8241670080 is about 90783.6443419188. The cubic root of 8241670080 is about 2019.9397165292.

The spelling of 8241670080 in words is "eight billion, two hundred forty-one million, six hundred seventy thousand, eighty".