2686328064 has 432 divisors, whose sum is σ = 9523404800. Its totient is φ = 739031040.

The previous prime is 2686328063. The next prime is 2686328069. The reversal of 2686328064 is 4608236862.

2686328064 is a `hidden beast` number, since 2 + 6 + 8 + 632 + 8 + 0 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686328063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13499037 + ... + 13499235.

Almost surely, 2^2686328064 is an apocalyptic number.

2686328064 is a gapful number since it is divisible by the number (24) 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 2686328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761702400).

2686328064 is an abundant number, since it is smaller than the sum of its proper divisors (6837076736).

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

2686328064 is an equidigital number, since it uses as much as digits as its factorization.

2686328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2686328064 is about 51829.7989963303. The cubic root of 2686328064 is about 1390.1223196878.

The spelling of 2686328064 in words is "two billion, six hundred eighty-six million, three hundred twenty-eight thousand, sixty-four".