64768001 has 2 divisors, whose sum is σ = 64768002. Its totient is φ = 64768000.

The previous prime is 64767973. The next prime is 64768007. The reversal of 64768001 is 10086746.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59367025 + 5400976 = 7705^2 + 2324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-64768001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (64768007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32384000 + 32384001.

It is an arithmetic number, because the mean of its divisors is an integer number (32384001).

Almost surely, 2^64768001 is an apocalyptic number.

It is an amenable number.

64768001 is a deficient number, since it is larger than the sum of its proper divisors (1).

64768001 is an equidigital number, since it uses as much as digits as its factorization.

64768001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 64768001 is about 8047.8569197023. The cubic root of 64768001 is about 401.5936443951.

The spelling of 64768001 in words is "sixty-four million, seven hundred sixty-eight thousand, one".