67781601801 has 9 divisors (see below), whose sum is σ = 97907886349. Its totient is φ = 45187213836.

The previous prime is 67781601779. The next prime is 67781601821. The reversal of 67781601801 is 10810618776.

It is a happy number.

The square root of 67781601801 is 260349.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 67781601801 - 2¹³ = 67781593609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67781601821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 737656 + ... + 824438.

Almost surely, 2^67781601801 is an apocalyptic number.

67781601801 is the 260349-th square number.

67781601801 is the 130175-th centered octagonal number.

It is an amenable number.

67781601801 is a deficient number, since it is larger than the sum of its proper divisors (30126284548).

67781601801 is an frugal number, since it uses more digits than its factorization.

67781601801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173572 (or 86786 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 67781601801 in words is "sixty-seven billion, seven hundred eighty-one million, six hundred one thousand, eight hundred one".