73601678160761 has 2 divisors, whose sum is σ = 73601678160762. Its totient is φ = 73601678160760.

The previous prime is 73601678160749. The next prime is 73601678160781. The reversal of 73601678160761 is 16706187610637.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73416450355600 + 185227805161 = 8568340^2 + 430381^2 .

It is a cyclic number.

It is not a de Polignac number, because 73601678160761 - 2⁴² = 69203631649657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 73601678160761.

It is not a weakly prime, because it can be changed into another prime (73601678160701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36800839080380 + 36800839080381.

It is an arithmetic number, because the mean of its divisors is an integer number (36800839080381).

Almost surely, 2^{73601678160761} is an apocalyptic number.

It is an amenable number.

73601678160761 is a deficient number, since it is larger than the sum of its proper divisors (1).

73601678160761 is an equidigital number, since it uses as much as digits as its factorization.

73601678160761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10668672, while the sum is 59.

The spelling of 73601678160761 in words is "seventy-three trillion, six hundred one billion, six hundred seventy-eight million, one hundred sixty thousand, seven hundred sixty-one".