74719081760401 has 32 divisors (see below), whose sum is σ = 87513848882208. Its totient is φ = 63151857930240.

The previous prime is 74719081760381. The next prime is 74719081760413. The reversal of 74719081760401 is 10406718091747.

It is a Cunningham number, because it is equal to 8644020²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 16546793450625 + 58172288309776 = 4067775^2 + 7627076^2 .

It is a cyclic number.

It is not a de Polignac number, because 74719081760401 - 2⁷ = 74719081760273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74719081760441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64292211 + ... + 65444071.

It is an arithmetic number, because the mean of its divisors is an integer number (2734807777569).

Almost surely, 2^{74719081760401} is an apocalyptic number.

It is an amenable number.

74719081760401 is a deficient number, since it is larger than the sum of its proper divisors (12794767121807).

74719081760401 is a wasteful number, since it uses less digits than its factorization.

74719081760401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159861.

The product of its (nonzero) digits is 2370816, while the sum is 55.

The spelling of 74719081760401 in words is "seventy-four trillion, seven hundred nineteen billion, eighty-one million, seven hundred sixty thousand, four hundred one".