5674648464765 has 48 divisors (see below), whose sum is σ = 11352507543936. Its totient is φ = 2568440592000.

The previous prime is 5674648464763. The next prime is 5674648464767.

5674648464765 is a `hidden beast` number, since 5 + 6 + 7 + 46 + 484 + 6 + 47 + 65 = 666.

5674648464765 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5674648464763) and next prime (5674648464767).

It is not a de Polignac number, because 5674648464765 - 2¹ = 5674648464763 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5674648464693 and 5674648464702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5674648464763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89150151 + ... + 89213780.

It is an arithmetic number, because the mean of its divisors is an integer number (236510573832).

Almost surely, 2^{5674648464765} is an apocalyptic number.

It is an amenable number.

5674648464765 is an abundant number, since it is smaller than the sum of its proper divisors (5677859079171).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5674648464765 is a wasteful number, since it uses less digits than its factorization.

5674648464765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178364050 (or 178364047 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 72.

The spelling of 5674648464765 in words is "five trillion, six hundred seventy-four billion, six hundred forty-eight million, four hundred sixty-four thousand, seven hundred sixty-five".