8257275360 has 576 divisors, whose sum is σ = 32246061120. Its totient is φ = 1911029760.

The previous prime is 8257275331. The next prime is 8257275373. The reversal of 8257275360 is 635727528.

8257275360 is a `hidden beast` number, since 8 + 2 + 572 + 75 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 19069704 + ... + 19070136.

It is an arithmetic number, because the mean of its divisors is an integer number (55982745).

Almost surely, 2^8257275360 is an apocalyptic number.

8257275360 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 8257275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123030560).

8257275360 is an abundant number, since it is smaller than the sum of its proper divisors (23988785760).

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

8257275360 is a wasteful number, since it uses less digits than its factorization.

8257275360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 8257275360 is about 90869.5513359673. The cubic root of 8257275360 is about 2021.2138050090.

The spelling of 8257275360 in words is "eight billion, two hundred fifty-seven million, two hundred seventy-five thousand, three hundred sixty".