77033641337 has 2 divisors, whose sum is σ = 77033641338. Its totient is φ = 77033641336.

The previous prime is 77033641331. The next prime is 77033641367. The reversal of 77033641337 is 73314633077.

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., 47344972921 + 29688668416 = 217589^2 + 172304^2 .

It is a cyclic number.

It is not a de Polignac number, because 77033641337 - 2¹⁴ = 77033624953 is a prime.

It is not a weakly prime, because it can be changed into another prime (77033641331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38516820668 + 38516820669.

It is an arithmetic number, because the mean of its divisors is an integer number (38516820669).

Almost surely, 2^77033641337 is an apocalyptic number.

It is an amenable number.

77033641337 is a deficient number, since it is larger than the sum of its proper divisors (1).

77033641337 is an equidigital number, since it uses as much as digits as its factorization.

77033641337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 666792, while the sum is 44.

The spelling of 77033641337 in words is "seventy-seven billion, thirty-three million, six hundred forty-one thousand, three hundred thirty-seven".