8369000064 has 288 divisors, whose sum is σ = 26046034560. Its totient is φ = 2576471040.

The previous prime is 8368999999. The next prime is 8369000093. The reversal of 8369000064 is 4600009638.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8368999992 and 8369000028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18891427 + ... + 18891869.

It is an arithmetic number, because the mean of its divisors is an integer number (90437620).

Almost surely, 2^8369000064 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 8369000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023017280).

8369000064 is an abundant number, since it is smaller than the sum of its proper divisors (17677034496).

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

8369000064 is a wasteful number, since it uses less digits than its factorization.

8369000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 8369000064 is about 91482.2390631099. The cubic root of 8369000064 is about 2030.2889785733.

The spelling of 8369000064 in words is "eight billion, three hundred sixty-nine million, sixty-four", and thus it is an aban number.