8485256736 has 336 divisors, whose sum is σ = 27995315040. Its totient is φ = 2508226560.

The previous prime is 8485256723. The next prime is 8485256783. The reversal of 8485256736 is 6376525848.

8485256736 is a `hidden beast` number, since 8 + 48 + 5 + 2 + 567 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 11033760 + ... + 11034528.

It is an arithmetic number, because the mean of its divisors is an integer number (83319390).

Almost surely, 2^8485256736 is an apocalyptic number.

8485256736 is a gapful number since it is divisible by the number (86) 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 8485256736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997657520).

8485256736 is an abundant number, since it is smaller than the sum of its proper divisors (19510058304).

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

8485256736 is a wasteful number, since it uses less digits than its factorization.

8485256736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 828 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 8485256736 is about 92115.4532963932. The cubic root of 8485256736 is about 2039.6469285153.

The spelling of 8485256736 in words is "eight billion, four hundred eighty-five million, two hundred fifty-six thousand, seven hundred thirty-six".