8257747680 has 1152 divisors, whose sum is σ = 37447038720. Its totient is φ = 1610219520.

The previous prime is 8257747679. The next prime is 8257747691. The reversal of 8257747680 is 867477528.

It is a happy number.

8257747680 is a `hidden beast` number, since 8 + 2 + 577 + 4 + 7 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 155806534 + ... + 155806586.

It is an arithmetic number, because the mean of its divisors is an integer number (32506110).

Almost surely, 2^8257747680 is an apocalyptic number.

8257747680 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 8257747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723519360).

8257747680 is an abundant number, since it is smaller than the sum of its proper divisors (29189291040).

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

8257747680 is a wasteful number, since it uses less digits than its factorization.

8257747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 8257747680 is about 90872.1501891531. The cubic root of 8257747680 is about 2021.2523423982.

The spelling of 8257747680 in words is "eight billion, two hundred fifty-seven million, seven hundred forty-seven thousand, six hundred eighty".