674505638438401 has 64 divisors (see below), whose sum is σ = 849726961090560. Its totient is φ = 520109228208960.

The previous prime is 674505638438381. The next prime is 674505638438509. The reversal of 674505638438401 is 104834836505476.

It is a cyclic number.

It is not a de Polignac number, because 674505638438401 - 2²⁹ = 674505101567489 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (674505638432401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51258116260 + ... + 51258129418.

It is an arithmetic number, because the mean of its divisors is an integer number (13276983767040).

Almost surely, 2^{674505638438401} is an apocalyptic number.

It is an amenable number.

674505638438401 is a deficient number, since it is larger than the sum of its proper divisors (175221322652159).

674505638438401 is a wasteful number, since it uses less digits than its factorization.

674505638438401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19594.

The product of its (nonzero) digits is 232243200, while the sum is 64.

The spelling of 674505638438401 in words is "six hundred seventy-four trillion, five hundred five billion, six hundred thirty-eight million, four hundred thirty-eight thousand, four hundred one".