73664777563133 has 2 divisors, whose sum is σ = 73664777563134. Its totient is φ = 73664777563132.

The previous prime is 73664777563001. The next prime is 73664777563141. The reversal of 73664777563133 is 33136577746637.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49184230843609 + 24480546719524 = 7013147^2 + 4947782^2 .

It is a cyclic number.

It is not a de Polignac number, because 73664777563133 - 2²⁰ = 73664776514557 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73664777562133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36832388781566 + 36832388781567.

It is an arithmetic number, because the mean of its divisors is an integer number (36832388781567).

Almost surely, 2^{73664777563133} is an apocalyptic number.

It is an amenable number.

73664777563133 is a deficient number, since it is larger than the sum of its proper divisors (1).

73664777563133 is an equidigital number, since it uses as much as digits as its factorization.

73664777563133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 840157920, while the sum is 68.

The spelling of 73664777563133 in words is "seventy-three trillion, six hundred sixty-four billion, seven hundred seventy-seven million, five hundred sixty-three thousand, one hundred thirty-three".