64642748840801 has 2 divisors, whose sum is σ = 64642748840802. Its totient is φ = 64642748840800.

The previous prime is 64642748840783. The next prime is 64642748840807. The reversal of 64642748840801 is 10804884724646.

64642748840801 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., 48175384840801 + 16467364000000 = 6940849^2 + 4058000^2 .

It is a cyclic number.

It is not a de Polignac number, because 64642748840801 - 2²⁶ = 64642681731937 is a prime.

It is not a weakly prime, because it can be changed into another prime (64642748840807) 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, 32321374420400 + 32321374420401.

It is an arithmetic number, because the mean of its divisors is an integer number (32321374420401).

Almost surely, 2^{64642748840801} is an apocalyptic number.

It is an amenable number.

64642748840801 is a deficient number, since it is larger than the sum of its proper divisors (1).

64642748840801 is an equidigital number, since it uses as much as digits as its factorization.

64642748840801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66060288, while the sum is 62.

The spelling of 64642748840801 in words is "sixty-four trillion, six hundred forty-two billion, seven hundred forty-eight million, eight hundred forty thousand, eight hundred one".