6546420827088 has 640 divisors, whose sum is σ = 19406647180800. Its totient is φ = 1891685892096.

The previous prime is 6546420827087. The next prime is 6546420827137. The reversal of 6546420827088 is 8807280246456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6546420827087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6123873018 + ... + 6123874086.

It is an arithmetic number, because the mean of its divisors is an integer number (30322886220).

Almost surely, 2^{6546420827088} is an apocalyptic number.

6546420827088 is a gapful number since it is divisible by the number (68) 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 6546420827088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9703323590400).

6546420827088 is an abundant number, since it is smaller than the sum of its proper divisors (12860226353712).

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

6546420827088 is a wasteful number, since it uses less digits than its factorization.

6546420827088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 6546420827088 in words is "six trillion, five hundred forty-six billion, four hundred twenty million, eight hundred twenty-seven thousand, eighty-eight".