8252674560 has 480 divisors, whose sum is σ = 31368617280. Its totient is φ = 1992720384.

The previous prime is 8252674537. The next prime is 8252674561. The reversal of 8252674560 is 654762528.

8252674560 is a `hidden beast` number, since 8 + 2 + 526 + 74 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8252674561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17671447 + ... + 17671913.

It is an arithmetic number, because the mean of its divisors is an integer number (65351286).

Almost surely, 2^8252674560 is an apocalyptic number.

8252674560 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 8252674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15684308640).

8252674560 is an abundant number, since it is smaller than the sum of its proper divisors (23115942720).

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

8252674560 is a wasteful number, since it uses less digits than its factorization.

8252674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 8252674560 is about 90844.2323981000. The cubic root of 8252674560 is about 2020.8383410407.

The spelling of 8252674560 in words is "eight billion, two hundred fifty-two million, six hundred seventy-four thousand, five hundred sixty".