67667737721401 has 2 divisors, whose sum is σ = 67667737721402. Its totient is φ = 67667737721400.

The previous prime is 67667737721333. The next prime is 67667737721413. The reversal of 67667737721401 is 10412773776676.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66116803738176 + 1550933983225 = 8131224^2 + 1245365^2 .

It is a cyclic number.

It is not a de Polignac number, because 67667737721401 - 2¹³ = 67667737713209 is a prime.

It is not a weakly prime, because it can be changed into another prime (67667737721431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33833868860700 + 33833868860701.

It is an arithmetic number, because the mean of its divisors is an integer number (33833868860701).

Almost surely, 2^{67667737721401} is an apocalyptic number.

It is an amenable number.

67667737721401 is a deficient number, since it is larger than the sum of its proper divisors (1).

67667737721401 is an equidigital number, since it uses as much as digits as its factorization.

67667737721401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 87127488, while the sum is 64.

The spelling of 67667737721401 in words is "sixty-seven trillion, six hundred sixty-seven billion, seven hundred thirty-seven million, seven hundred twenty-one thousand, four hundred one".