2064757114368 has 480 divisors, whose sum is σ = 6765477919200. Its totient is φ = 600955158528.

The previous prime is 2064757114339. The next prime is 2064757114391. The reversal of 2064757114368 is 8634117574602.

2064757114368 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 7 + 571 + 1 + 4 + 3 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1216709296 + ... + 1216710992.

It is an arithmetic number, because the mean of its divisors is an integer number (14094745665).

Almost surely, 2^{2064757114368} 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 2064757114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382738959600).

2064757114368 is an abundant number, since it is smaller than the sum of its proper divisors (4700720804832).

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

2064757114368 is a wasteful number, since it uses less digits than its factorization.

2064757114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2064757114368 in words is "two trillion, sixty-four billion, seven hundred fifty-seven million, one hundred fourteen thousand, three hundred sixty-eight".