6548090812032 has 1728 divisors, whose sum is σ = 24323234584320. Its totient is φ = 1553242521600.

The previous prime is 6548090812009. The next prime is 6548090812057. The reversal of 6548090812032 is 2302180908456.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25478952448 + ... + 25478952704.

It is an arithmetic number, because the mean of its divisors is an integer number (14075945940).

Almost surely, 2^{6548090812032} is an apocalyptic number.

6548090812032 is a gapful number since it is divisible by the number (62) 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 6548090812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12161617292160).

6548090812032 is an abundant number, since it is smaller than the sum of its proper divisors (17775143772288).

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

6548090812032 is a wasteful number, since it uses less digits than its factorization.

6548090812032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 6548090812032 in words is "six trillion, five hundred forty-eight billion, ninety million, eight hundred twelve thousand, thirty-two".