6489388224 has 280 divisors, whose sum is σ = 21668207616. Its totient is φ = 1902528000.

The previous prime is 6489388219. The next prime is 6489388237. The reversal of 6489388224 is 4228839846.

It is a super-2 number, since 2×6489388224² = 84224319043579748352, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 1765909 + ... + 1769579.

Almost surely, 2^6489388224 is an apocalyptic number.

6489388224 is a gapful number since it is divisible by the number (64) 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 6489388224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10834103808).

6489388224 is an abundant number, since it is smaller than the sum of its proper divisors (15178819392).

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

6489388224 is a wasteful number, since it uses less digits than its factorization.

6489388224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3718 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 6489388224 is about 80556.7391594273. The cubic root of 6489388224 is about 1865.2394208030.

The spelling of 6489388224 in words is "six billion, four hundred eighty-nine million, three hundred eighty-eight thousand, two hundred twenty-four".