8502084864 has 432 divisors, whose sum is σ = 31513083840. Its totient is φ = 2241146880.

The previous prime is 8502084821. The next prime is 8502084883. The reversal of 8502084864 is 4684802058.

8502084864 is a `hidden beast` number, since 8 + 502 + 0 + 84 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4401979 + ... + 4403909.

Almost surely, 2^8502084864 is an apocalyptic number.

8502084864 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 8502084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15756541920).

8502084864 is an abundant number, since it is smaller than the sum of its proper divisors (23010998976).

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

8502084864 is a wasteful number, since it uses less digits than its factorization.

8502084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 8502084864 is about 92206.7506422388. The cubic root of 8502084864 is about 2040.9943940985.

The spelling of 8502084864 in words is "eight billion, five hundred two million, eighty-four thousand, eight hundred sixty-four".