8258257638 has 80 divisors (see below), whose sum is σ = 19125436176. Its totient is φ = 2661603840.

The previous prime is 8258257621. The next prime is 8258257639. The reversal of 8258257638 is 8367528528.

8258257638 is a `hidden beast` number, since 8 + 2 + 582 + 57 + 6 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8258257639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 745045 + ... + 756047.

Almost surely, 2^8258257638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8258257638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9562718088).

8258257638 is an abundant number, since it is smaller than the sum of its proper divisors (10867178538).

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

8258257638 is a wasteful number, since it uses less digits than its factorization.

8258257638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11171 (or 11162 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 8258257638 is about 90874.9560550100. The cubic root of 8258257638 is about 2021.2939490859.

The spelling of 8258257638 in words is "eight billion, two hundred fifty-eight million, two hundred fifty-seven thousand, six hundred thirty-eight".