2688485907456 has 176 divisors, whose sum is σ = 7966825416480. Its totient is φ = 895618252800.

The previous prime is 2688485907439. The next prime is 2688485907469. The reversal of 2688485907456 is 6547095848862.

2688485907456 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 4 + 85 + 90 + 7 + 456 = 666.

2688485907456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46890006 + ... + 46947306.

Almost surely, 2^{2688485907456} 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 2688485907456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983412708240).

2688485907456 is an abundant number, since it is smaller than the sum of its proper divisors (5278339509024).

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

2688485907456 is a wasteful number, since it uses less digits than its factorization.

2688485907456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59027 (or 59003 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 2688485907456 in words is "two trillion, six hundred eighty-eight billion, four hundred eighty-five million, nine hundred seven thousand, four hundred fifty-six".