8250185664 has 210 divisors, whose sum is σ = 28449849120. Its totient is φ = 2357123328.

The previous prime is 8250185659. The next prime is 8250185687. The reversal of 8250185664 is 4665810528.

8250185664 is a `hidden beast` number, since 8 + 2 + 501 + 85 + 6 + 64 = 666.

It is a super-2 number, since 2×8250185664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 237777 + ... + 270255.

It is an arithmetic number, because the mean of its divisors is an integer number (135475472).

Almost surely, 2^8250185664 is an apocalyptic number.

8250185664 is a gapful number since it is divisible by the number (84) 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 8250185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224924560).

8250185664 is an abundant number, since it is smaller than the sum of its proper divisors (20199663456).

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

8250185664 is a wasteful number, since it uses less digits than its factorization.

8250185664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32517 (or 32491 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8250185664 is about 90830.5326638570. The cubic root of 8250185664 is about 2020.6351680315.

The spelling of 8250185664 in words is "eight billion, two hundred fifty million, one hundred eighty-five thousand, six hundred sixty-four".