8268750600 has 384 divisors, whose sum is σ = 29665958400. Its totient is φ = 1884211200.

The previous prime is 8268750571. The next prime is 8268750617. The reversal of 8268750600 is 60578628.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29218059 + ... + 29218341.

It is an arithmetic number, because the mean of its divisors is an integer number (77255100).

Almost surely, 2^8268750600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8268750600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14832979200).

8268750600 is an abundant number, since it is smaller than the sum of its proper divisors (21397207800).

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

8268750600 is a wasteful number, since it uses less digits than its factorization.

8268750600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 8268750600 is about 90932.6706965104. The cubic root of 8268750600 is about 2022.1496737425.

The spelling of 8268750600 in words is "eight billion, two hundred sixty-eight million, seven hundred fifty thousand, six hundred".