7648648468467 has 16 divisors (see below), whose sum is σ = 10529722183680. Its totient is φ = 4933416556800.

The previous prime is 7648648468451. The next prime is 7648648468507.

7648648468467 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7648648468467 - 2⁴ = 7648648468451 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7648648468392 and 7648648468401.

It is not an unprimeable number, because it can be changed into a prime (7648648268467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9575259 + ... + 10343252.

It is an arithmetic number, because the mean of its divisors is an integer number (658107636480).

Almost surely, 2^{7648648468467} is an apocalyptic number.

7648648468467 is a deficient number, since it is larger than the sum of its proper divisors (2881073715213).

7648648468467 is a wasteful number, since it uses less digits than its factorization.

7648648468467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19922674.

The product of its digits is 8323596288, while the sum is 78.

The spelling of 7648648468467 in words is "seven trillion, six hundred forty-eight billion, six hundred forty-eight million, four hundred sixty-eight thousand, four hundred sixty-seven".