6546640000 has 320 divisors, whose sum is σ = 17684964000. Its totient is φ = 2405376000.

The previous prime is 6546639949. The next prime is 6546640021. The reversal of 6546640000 is 466456.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89679964 + ... + 89680036.

Almost surely, 2^6546640000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6546640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8842482000).

6546640000 is an abundant number, since it is smaller than the sum of its proper divisors (11138324000).

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

6546640000 is an equidigital number, since it uses as much as digits as its factorization.

6546640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 6546640000 is about 80911.3094690724. The cubic root of 6546640000 is about 1870.7086450310.

The spelling of 6546640000 in words is "six billion, five hundred forty-six million, six hundred forty thousand".