64428763720961 has 2 divisors, whose sum is σ = 64428763720962. Its totient is φ = 64428763720960.

The previous prime is 64428763720913. The next prime is 64428763720969. The reversal of 64428763720961 is 16902736782446.

64428763720961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43887564303361 + 20541199417600 = 6624769^2 + 4532240^2 .

It is a cyclic number.

It is not a de Polignac number, because 64428763720961 - 2⁶ = 64428763720897 is a prime.

It is a super-2 number, since 2×64428763720961² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (64428763720969) by changing a digit.

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 as a sum of consecutive naturals, namely, 32214381860480 + 32214381860481.

It is an arithmetic number, because the mean of its divisors is an integer number (32214381860481).

Almost surely, 2^{64428763720961} is an apocalyptic number.

It is an amenable number.

64428763720961 is a deficient number, since it is larger than the sum of its proper divisors (1).

64428763720961 is an equidigital number, since it uses as much as digits as its factorization.

64428763720961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 146313216, while the sum is 65.

The spelling of 64428763720961 in words is "sixty-four trillion, four hundred twenty-eight billion, seven hundred sixty-three million, seven hundred twenty thousand, nine hundred sixty-one".