8125574688 has 576 divisors, whose sum is σ = 30569011200. Its totient is φ = 1984942080.

The previous prime is 8125574687. The next prime is 8125574719. The reversal of 8125574688 is 8864755218.

8125574688 is a `hidden beast` number, since 8 + 1 + 2 + 5 + 574 + 68 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (8125574687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45394183 + ... + 45394361.

It is an arithmetic number, because the mean of its divisors is an integer number (53071200).

Almost surely, 2^8125574688 is an apocalyptic number.

8125574688 is a gapful number since it is divisible by the number (88) 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 8125574688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284505600).

8125574688 is an abundant number, since it is smaller than the sum of its proper divisors (22443436512).

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

8125574688 is a wasteful number, since it uses less digits than its factorization.

8125574688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The square root of 8125574688 is about 90141.9696256966. The cubic root of 8125574688 is about 2010.4102763893.

The spelling of 8125574688 in words is "eight billion, one hundred twenty-five million, five hundred seventy-four thousand, six hundred eighty-eight".