6546666456 has 128 divisors (see below), whose sum is σ = 20701094400. Its totient is φ = 1897568640.

The previous prime is 6546666449. The next prime is 6546666463.

6546666456 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6546666449) and next prime (6546666463).

It is a super-2 number, since 2×6546666456² = 85717683372231199872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5251 + ... + 114546.

It is an arithmetic number, because the mean of its divisors is an integer number (161727300).

Almost surely, 2^6546666456 is an apocalyptic number.

6546666456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6546666456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10350547200).

6546666456 is an abundant number, since it is smaller than the sum of its proper divisors (14154427944).

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

6546666456 is a wasteful number, since it uses less digits than its factorization.

6546666456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119846 (or 119836 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The square root of 6546666456 is about 80911.4729565591. The cubic root of 6546666456 is about 1870.7111649701.

The spelling of 6546666456 in words is "six billion, five hundred forty-six million, six hundred sixty-six thousand, four hundred fifty-six".