6489354240 has 624 divisors, whose sum is σ = 25300360800. Its totient is φ = 1528823808.

The previous prime is 6489354227. The next prime is 6489354241. The reversal of 6489354240 is 424539846.

6489354240 is a `hidden beast` number, since 64 + 8 + 9 + 3 + 542 + 40 = 666.

It is a super-2 number, since 2×6489354240² = 84223436904411955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6489354241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59535306 + ... + 59535414.

It is an arithmetic number, because the mean of its divisors is an integer number (40545450).

Almost surely, 2^6489354240 is an apocalyptic number.

6489354240 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 6489354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650180400).

6489354240 is an abundant number, since it is smaller than the sum of its proper divisors (18811006560).

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

6489354240 is a wasteful number, since it uses less digits than its factorization.

6489354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6489354240 is about 80556.5282270779. The cubic root of 6489354240 is about 1865.2361647998.

The spelling of 6489354240 in words is "six billion, four hundred eighty-nine million, three hundred fifty-four thousand, two hundred forty".