6466812240 has 320 divisors, whose sum is σ = 24759129600. Its totient is φ = 1390878720.

The previous prime is 6466812239. The next prime is 6466812271. The reversal of 6466812240 is 422186646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1397130 + ... + 1401750.

It is an arithmetic number, because the mean of its divisors is an integer number (77372280).

Almost surely, 2^6466812240 is an apocalyptic number.

6466812240 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 6466812240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12379564800).

6466812240 is an abundant number, since it is smaller than the sum of its proper divisors (18292317360).

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

6466812240 is a wasteful number, since it uses less digits than its factorization.

6466812240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 6466812240 is about 80416.4923383257. The cubic root of 6466812240 is about 1863.0739089300.

Adding to 6466812240 its reverse (422186646), we get a palindrome (6888998886).

The spelling of 6466812240 in words is "six billion, four hundred sixty-six million, eight hundred twelve thousand, two hundred forty".