6548221440 has 400 divisors, whose sum is σ = 24491209248. Its totient is φ = 1669054464.

The previous prime is 6548221429. The next prime is 6548221457. The reversal of 6548221440 is 441228456.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6548221395 and 6548221404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4768594 + ... + 4769966.

Almost surely, 2^6548221440 is an apocalyptic number.

6548221440 is a gapful number since it is divisible by the number (60) 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 6548221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12245604624).

6548221440 is an abundant number, since it is smaller than the sum of its proper divisors (17942987808).

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

6548221440 is a wasteful number, since it uses less digits than its factorization.

6548221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 6548221440 is about 80921.0815548087. The cubic root of 6548221440 is about 1870.8592655679.

Adding to 6548221440 its reverse (441228456), we get a palindrome (6989449896).

The spelling of 6548221440 in words is "six billion, five hundred forty-eight million, two hundred twenty-one thousand, four hundred forty".