2568745764 has 192 divisors, whose sum is σ = 7640801280. Its totient is φ = 739307520.

The previous prime is 2568745741. The next prime is 2568745801. The reversal of 2568745764 is 4675478652.

It is a happy number.

2568745764 is a `hidden beast` number, since 2 + 5 + 68 + 7 + 4 + 576 + 4 = 666.

2568745764 is digitally balanced in base 2 and base 4, because in such bases 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2568745764.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6706717 + ... + 6707099.

It is an arithmetic number, because the mean of its divisors is an integer number (39795840).

Almost surely, 2^2568745764 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 2568745764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820400640).

2568745764 is an abundant number, since it is smaller than the sum of its proper divisors (5072055516).

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

2568745764 is a wasteful number, since it uses less digits than its factorization.

2568745764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 699 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 2568745764 is about 50682.7955424718. The cubic root of 2568745764 is about 1369.5368040025.

The spelling of 2568745764 in words is "two billion, five hundred sixty-eight million, seven hundred forty-five thousand, seven hundred sixty-four".