7648162405317 has 32 divisors (see below), whose sum is σ = 12955969352960. Its totient is φ = 4368117378240.

The previous prime is 7648162405291. The next prime is 7648162405381. The reversal of 7648162405317 is 7135042618467.

7648162405317 is a `hidden beast` number, since 7 + 6 + 4 + 8 + 1 + 62 + 40 + 531 + 7 = 666.

It is not a de Polignac number, because 7648162405317 - 2¹⁶ = 7648162339781 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7648162415317) 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, 10101934 + ... + 10832607.

It is an arithmetic number, because the mean of its divisors is an integer number (404874042280).

Almost surely, 2^{7648162405317} is an apocalyptic number.

It is an amenable number.

7648162405317 is a deficient number, since it is larger than the sum of its proper divisors (5307806947643).

7648162405317 is a wasteful number, since it uses less digits than its factorization.

7648162405317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20936490 (or 20936484 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 7648162405317 in words is "seven trillion, six hundred forty-eight billion, one hundred sixty-two million, four hundred five thousand, three hundred seventeen".