2564668085760 has 1200 divisors, whose sum is σ = 10258768642320. Its totient is φ = 607313756160.

The previous prime is 2564668085743. The next prime is 2564668085779. The reversal of 2564668085760 is 675808664652.

It is a happy number.

2564668085760 is a `hidden beast` number, since 2 + 56 + 4 + 6 + 6 + 8 + 0 + 8 + 576 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5038640386 + ... + 5038640894.

Almost surely, 2^{2564668085760} is an apocalyptic number.

2564668085760 is a gapful number since it is divisible by the number (20) 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 2564668085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129384321160).

2564668085760 is an abundant number, since it is smaller than the sum of its proper divisors (7694100556560).

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

2564668085760 is an equidigital number, since it uses as much as digits as its factorization.

2564668085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 2564668085760 in words is "two trillion, five hundred sixty-four billion, six hundred sixty-eight million, eighty-five thousand, seven hundred sixty".