8025291648 has 256 divisors, whose sum is σ = 25953696000. Its totient is φ = 2421135360.

The previous prime is 8025291647. The next prime is 8025291653. The reversal of 8025291648 is 8461925208.

8025291648 is a `hidden beast` number, since 80 + 2 + 529 + 1 + 6 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8025291647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14407786 + ... + 14408342.

It is an arithmetic number, because the mean of its divisors is an integer number (101381625).

Almost surely, 2^8025291648 is an apocalyptic number.

8025291648 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 8025291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976848000).

8025291648 is an abundant number, since it is smaller than the sum of its proper divisors (17928404352).

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

8025291648 is a wasteful number, since it uses less digits than its factorization.

8025291648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8025291648 is about 89583.9921414535. The cubic root of 8025291648 is about 2002.1054201586.

The spelling of 8025291648 in words is "eight billion, twenty-five million, two hundred ninety-one thousand, six hundred forty-eight".