7648330338467 has 16 divisors (see below), whose sum is σ = 9485187140352. Its totient is φ = 6005232099360.

The previous prime is 7648330338449. The next prime is 7648330338503.

7648330338467 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7648330338467 - 2⁴² = 3250283827363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7648330338067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320780393 + ... + 320804234.

It is an arithmetic number, because the mean of its divisors is an integer number (592824196272).

Almost surely, 2^{7648330338467} is an apocalyptic number.

7648330338467 is a deficient number, since it is larger than the sum of its proper divisors (1836856801885).

7648330338467 is a wasteful number, since it uses less digits than its factorization.

7648330338467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641584778.

The product of its (nonzero) digits is 146313216, while the sum is 62.

The spelling of 7648330338467 in words is "seven trillion, six hundred forty-eight billion, three hundred thirty million, three hundred thirty-eight thousand, four hundred sixty-seven".