67738491760761 has 6 divisors (see below), whose sum is σ = 97844488098890. Its totient is φ = 45158994507168.

The previous prime is 67738491760757. The next prime is 67738491760813. The reversal of 67738491760761 is 16706719483776.

67738491760761 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 8 + 4 + 9 + 1 + 7 + 607 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52727857346025 + 15010634414736 = 7261395^2 + 3874356^2 .

It is not a de Polignac number, because 67738491760761 - 2² = 67738491760757 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67738491760761.

It is not an unprimeable number, because it can be changed into a prime (67738491760721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3763249542256 + ... + 3763249542273.

Almost surely, 2^{67738491760761} is an apocalyptic number.

It is an amenable number.

67738491760761 is a deficient number, since it is larger than the sum of its proper divisors (30105996338129).

67738491760761 is a wasteful number, since it uses less digits than its factorization.

67738491760761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526499084535 (or 7526499084532 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 67738491760761 in words is "sixty-seven trillion, seven hundred thirty-eight billion, four hundred ninety-one million, seven hundred sixty thousand, seven hundred sixty-one".