64857683725328 has 80 divisors (see below), whose sum is σ = 138660589070976. Its totient is φ = 29197499950080.

The previous prime is 64857683725301. The next prime is 64857683725427. The reversal of 64857683725328 is 82352738675846.

64857683725328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64857683725328² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36336101 + ... + 38079227.

Almost surely, 2^{64857683725328} 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 64857683725328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69330294535488).

64857683725328 is an abundant number, since it is smaller than the sum of its proper divisors (73802905345648).

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

64857683725328 is a wasteful number, since it uses less digits than its factorization.

64857683725328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747552 (or 1747546 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 74.

The spelling of 64857683725328 in words is "sixty-four trillion, eight hundred fifty-seven billion, six hundred eighty-three million, seven hundred twenty-five thousand, three hundred twenty-eight".