85634236584864 has 960 divisors, whose sum is σ = 291103738168320. Its totient is φ = 24451227648000.

The previous prime is 85634236584791. The next prime is 85634236584889. The reversal of 85634236584864 is 46848563243658.

85634236584864 is a `hidden beast` number, since 8 + 5 + 6 + 3 + 4 + 2 + 36 + 584 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 85634236584792 and 85634236584801.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20619847812 + ... + 20619851964.

It is an arithmetic number, because the mean of its divisors is an integer number (303233060592).

Almost surely, 2^{85634236584864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85634236584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145551869084160).

85634236584864 is an abundant number, since it is smaller than the sum of its proper divisors (205469501583456).

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

85634236584864 is a wasteful number, since it uses less digits than its factorization.

85634236584864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827 (or 4810 counting only the distinct ones).

The product of its digits is 3185049600, while the sum is 72.

The spelling of 85634236584864 in words is "eighty-five trillion, six hundred thirty-four billion, two hundred thirty-six million, five hundred eighty-four thousand, eight hundred sixty-four".