6547664667456 has 168 divisors, whose sum is σ = 20643060779328. Its totient is φ = 1984140576000.

The previous prime is 6547664667421. The next prime is 6547664667457.

6547664667456 is a `hidden beast` number, since 6 + 5 + 4 + 76 + 6 + 46 + 67 + 456 = 666.

6547664667456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6547664667457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3503620 + ... + 5036931.

Almost surely, 2^{6547664667456} is an apocalyptic number.

6547664667456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6547664667456 is an abundant number, since it is smaller than the sum of its proper divisors (14095396111872).

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

6547664667456 is a wasteful number, since it uses less digits than its factorization.

6547664667456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540602 (or 8540567 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 72.

The spelling of 6547664667456 in words is "six trillion, five hundred forty-seven billion, six hundred sixty-four million, six hundred sixty-seven thousand, four hundred fifty-six".