8241273600 has 432 divisors, whose sum is σ = 32920892928. Its totient is φ = 1772421120.

The previous prime is 8241273587. The next prime is 8241273611. The reversal of 8241273600 is 63721428.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2282997 + ... + 2286603.

Almost surely, 2^8241273600 is an apocalyptic number.

8241273600 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 8241273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16460446464).

8241273600 is an abundant number, since it is smaller than the sum of its proper divisors (24679619328).

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

8241273600 is a wasteful number, since it uses less digits than its factorization.

8241273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 8241273600 is about 90781.4606624062. The cubic root of 8241273600 is about 2019.9073250951.

The spelling of 8241273600 in words is "eight billion, two hundred forty-one million, two hundred seventy-three thousand, six hundred".