67777367700401 has 2 divisors, whose sum is σ = 67777367700402. Its totient is φ = 67777367700400.

The previous prime is 67777367700313. The next prime is 67777367700467. The reversal of 67777367700401 is 10400776377776.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55295285766400 + 12482081934001 = 7436080^2 + 3532999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67777367700401 is a prime.

It is not a weakly prime, because it can be changed into another prime (67777367790401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33888683850200 + 33888683850201.

It is an arithmetic number, because the mean of its divisors is an integer number (33888683850201).

Almost surely, 2^{67777367700401} is an apocalyptic number.

It is an amenable number.

67777367700401 is a deficient number, since it is larger than the sum of its proper divisors (1).

67777367700401 is an equidigital number, since it uses as much as digits as its factorization.

67777367700401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50824368, while the sum is 62.

The spelling of 67777367700401 in words is "sixty-seven trillion, seven hundred seventy-seven billion, three hundred sixty-seven million, seven hundred thousand, four hundred one".