7563648463657 has 12 divisors (see below), whose sum is σ = 8934788612304. Its totient is φ = 6347117590320.

The previous prime is 7563648463643. The next prime is 7563648463691.

7563648463657 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7563648463657 - 2²⁷ = 7563514245929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7563648463057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2034330703 + ... + 2034334420.

It is an arithmetic number, because the mean of its divisors is an integer number (744565717692).

Almost surely, 2^{7563648463657} is an apocalyptic number.

It is an amenable number.

7563648463657 is a deficient number, since it is larger than the sum of its proper divisors (1371140148647).

7563648463657 is a wasteful number, since it uses less digits than its factorization.

7563648463657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068665160 (or 4068665147 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 70.

The spelling of 7563648463657 in words is "seven trillion, five hundred sixty-three billion, six hundred forty-eight million, four hundred sixty-three thousand, six hundred fifty-seven".