73678824147769 has 9 divisors (see below), whose sum is σ = 75520059716461. Its totient is φ = 71881436310880.

The previous prime is 73678824147767. The next prime is 73678824147779. The reversal of 73678824147769 is 96774142887637.

The square root of 73678824147769 is 8583637.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33298035498025 + 40380788649744 = 5770445^2 + 6354588^2 .

It is not a de Polignac number, because 73678824147769 - 2¹ = 73678824147767 is a prime.

It is a super-2 number, since 2×73678824147769² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73678824147767) 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, 351824439 + ... + 352033795.

Almost surely, 2^{73678824147769} is an apocalyptic number.

73678824147769 is the 8583637-th square number.

73678824147769 is the 4291819-th centered octagonal number.

It is an amenable number.

73678824147769 is a deficient number, since it is larger than the sum of its proper divisors (1841235568692).

73678824147769 is an frugal number, since it uses more digits than its factorization.

73678824147769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418796 (or 209398 counting only the distinct ones).

The product of its digits is 4779565056, while the sum is 79.

The spelling of 73678824147769 in words is "seventy-three trillion, six hundred seventy-eight billion, eight hundred twenty-four million, one hundred forty-seven thousand, seven hundred sixty-nine".