2688795648 has 440 divisors, whose sum is σ = 10034295744. Its totient is φ = 696729600.

The previous prime is 2688795607. The next prime is 2688795653. The reversal of 2688795648 is 8465978862.

2688795648 is a `hidden beast` number, since 2 + 68 + 8 + 7 + 9 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6386478 + ... + 6386898.

Almost surely, 2^2688795648 is an apocalyptic number.

2688795648 is a gapful number since it is divisible by the number (28) 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 2688795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017147872).

2688795648 is an abundant number, since it is smaller than the sum of its proper divisors (7345500096).

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

2688795648 is a wasteful number, since it uses less digits than its factorization.

2688795648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 444 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 2688795648 is about 51853.5982165172. The cubic root of 2688795648 is about 1390.5478316059.

The spelling of 2688795648 in words is "two billion, six hundred eighty-eight million, seven hundred ninety-five thousand, six hundred forty-eight".