8385521760 has 576 divisors, whose sum is σ = 37011147264. Its totient is φ = 1741824000.

The previous prime is 8385521743. The next prime is 8385521773. The reversal of 8385521760 is 671255838.

8385521760 is a `hidden beast` number, since 8 + 38 + 552 + 1 + 7 + 60 = 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, 2992360 + ... + 2995160.

It is an arithmetic number, because the mean of its divisors is an integer number (64255464).

Almost surely, 2^8385521760 is an apocalyptic number.

8385521760 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 8385521760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505573632).

8385521760 is an abundant number, since it is smaller than the sum of its proper divisors (28625625504).

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

8385521760 is a wasteful number, since it uses less digits than its factorization.

8385521760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 8385521760 is about 91572.4945603209. The cubic root of 8385521760 is about 2031.6241348111.

The spelling of 8385521760 in words is "eight billion, three hundred eighty-five million, five hundred twenty-one thousand, seven hundred sixty".